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Math Algebra Intermediate Algebra

Verify the functions are inverse functions. f ( x ) = 4 x − 3 and g ( x ) = x + 3 4 .

Verify the functions are inverse functions. f ( x ) = 4 x − 3 and g ( x ) = x + 3 4 .

Intermediate Algebra

Intermediate Algebra

19th Edition

ISBN: 9780998625720

Author: Lynn Marecek

Publisher: OpenStax College

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Textbook Question

Chapter 10.1, Problem 10.13TI

Verify the functions are inverse functions.

f ( x ) = 4 x − 3 and g ( x ) = x + 3 4 .

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Chapter 10.1, Problem 10.12TI

Chapter 10.1, Problem 10.14TI

Chapter 10 Solutions

Intermediate Algebra

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Ch. 10.1 - Graph, on the same coordinate system, the inverse...Ch. 10.1 - Graph, on the same coordinate system, the inverse...Ch. 10.1 - Verify the functions are inverse functions....Ch. 10.1 - Verify the functions are inverse functions....Ch. 10.1 - Verify the inverse of the function f(x)=5x3.Ch. 10.1 - Verify the inverse of the function f(x)=8x+5.Ch. 10.1 - Verify the inverse of the function f(x)=3x25.Ch. 10.1 - Verify the inverse of the function f(x)=6x74.Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find (a) (fg)(x), (b)...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, find the values...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine if the set...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, determine whether each...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, graph on the same...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, determine whether or...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - In the following exercises, find the inverse of...Ch. 10.1 - Explain how the graph of the inverse of a function...Ch. 10.1 - Explain how to find the inverse of a function from...Ch. 10.2 - Graph: f(x)=4x.Ch. 10.2 - Graph: g(x)=5x.Ch. 10.2 - Graph: f(x)=(14)x.Ch. 10.2 - Graph: g(x)=(15)x.Ch. 10.2 - On the same coordinate system, graph: f(x)=2x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=3x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=3x and...Ch. 10.2 - On the same coordinate system, graph: f(x)=4x and...Ch. 10.2 - Solve: 33x2=81.Ch. 10.2 - Solve: 7x3=7.Ch. 10.2 - Solve: ex2ex=e2.Ch. 10.2 - Solve: ex2ex=e6.Ch. 10.2 - Angela invested $15,000 in a savings account. If...Ch. 10.2 - Allan invested $10,000 in a mutual fund. If the...Ch. 10.2 - Another researcher at the Center for Disease...Ch. 10.2 - Maria, a biologist is observing the growth pattern...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each exponential...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - In the following exercises, graph each function in...Ch. 10.2 - 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Convert to exponential form: (a) 3=log327 (b)...Ch. 10.3 - Find the value of x: (a) logx64=2 (b) log5x=3 (c)...Ch. 10.3 - Find the value of x: (a) logx81=2 (b) log3x=5 (c)...Ch. 10.3 - Find the exact value logarithm without using a...Ch. 10.3 - Find the exact value logarithm without using a...Ch. 10.3 - Graph: y=log3x.Ch. 10.3 - Graph: y=log5x.Ch. 10.3 - Graph: y=log12x.Ch. 10.3 - Graph: y=log14x.Ch. 10.3 - Solve: (a) loga121=2 (b) lnx=7 Ch. 10.3 - Solve: (a) loga64=3 (b) lnx=9 Ch. 10.3 - Solve: (a) log2(5x1)=6 (b) lne3x=6 Ch. 10.3 - Solve: (a) log3(4x+3)=3 (b) lne4x=4 Ch. 10.3 - What is the decibel level of one of the new quiet...Ch. 10.3 - What is the decibel level heavy city traffic with...Ch. 10.3 - In 1906, San Francisco experienced an intense...Ch. 10.3 - In 2014, Chile experienced an intense earthquake...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - In the following exercises, convert form...Ch. 10.3 - 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Does...Ch. 10.4 - Write the Power Property in your own words. Does...Ch. 10.4 - Use an example to show that log(a+b)loga+logb ?Ch. 10.4 - Explain how to find the value of log715 using your...Ch. 10.5 - Solve: 2log3x=log336 Ch. 10.5 - Solve: 3logx=log64 Ch. 10.5 - Solve: log2x+log2(x2)=3 Ch. 10.5 - Solve: log2x+log2(x6)=4 Ch. 10.5 - Solve: log(x+2)log(4x+3)=logx.Ch. 10.5 - Solve: log(x2)log(4x+16)=log1x.Ch. 10.5 - Solve 7x=43 . Find the exact answer and then...Ch. 10.5 - Solve 8x=98. Find the exact answer and then...Ch. 10.5 - Solve 2ex2=18 . Find the exact answer and then...Ch. 10.5 - Solve 5e2x=25. Find the exact answer and then...Ch. 10.5 - Hector invests $10,000 at age 21. He hopes the...Ch. 10.5 - Rachel invests $15,000 at age 25. She hopes the...Ch. 10.5 - Researchers recorded that a certain bacteria...Ch. 10.5 - Researchers recorded that a certain bacteria...Ch. 10.5 - The half-life of magnesium-27 is 9.45 minutes. 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Radioactive...Ch. 10.5 - Explain the method you would use to solve these...Ch. 10.5 - What is the difference between the equation for...Ch. 10 - In the following exercises, for each pair of...Ch. 10 - In the following exercises, for each pair of...Ch. 10 - In the following exercises, evaluate the...Ch. 10 - In the following exercises, evaluate the...Ch. 10 - In the following exercises, for each set of...Ch. 10 - In the following exercises, for each set of...Ch. 10 - In the following exercises, for each set of...Ch. 10 - In the following exercises, for each set of...Ch. 10 - In the following exercises, for each set of...Ch. 10 - In the following exercise, find the inverse of the...Ch. 10 - In the following exercise, graph the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, find the inverse of...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, graph each of the...Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve each equation....Ch. 10 - In the following exercises, solve. 386. 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He hopes the...Ch. 10 - Elise invests $4500 in an account that compounds...Ch. 10 - Researchers recorded that a certain bacteria...Ch. 10 - Mouse populations can double in 8 months (A=2A0) ....Ch. 10 - The half-life of radioactive iodine is 60 days....Ch. 10 - For the functions, f(x)=6x+1 and g(x)=8x3, find...Ch. 10 - Determine if the following set of ordered pairs...Ch. 10 - Determine whether each graph is the graph of a...Ch. 10 - Graph, on the same coordinate system, the inverse...Ch. 10 - Find the inverse of the function f(x)=x59.Ch. 10 - Graph the function g(x)=2x3.Ch. 10 - Solve the equation 22x4=64.Ch. 10 - Solve the equation ex2e4=e3x.Ch. 10 - Megan invested $21,000 in a savings account. If...Ch. 10 - Convert the equation from exponential to...Ch. 10 - Convert the equation from logarithmic equation to...Ch. 10 - Solve for x: log5x=3 Ch. 10 - Evaluate log111.Ch. 10 - Evaluate log4164.Ch. 10 - Graph the function y=log3x.Ch. 10 - Solve for x: log(x239)=1 Ch. 10 - What is the decibel level of a small fan with...Ch. 10 - Evaluate each. 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