12 Find domain and range of the functions: a. f(x) = 3 ^(x-1) b. g(x) = log_3 (x + 2)

Q: entify each type of equat r, exponential or rational f(x)=40(2)^(x)

A: Given that,  f(x)=40(2)^(x) To determine the function is exponential or rational.

Q: Determine how and which of the functions above should be added, multiplied, divided or composed to…

A: f(x)=sinx,f(x)=logx and f(x)=2xdetermine  how and which of the functions should be added,…

Q: Find the domain and range of y=log_(3)(2+x). The domain is: The range is :

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Q: Q1) Which rule of logarithms is illustrated by the following equation?…

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Q: Use compositions to show that f(x)=7^(x) and g(x)=log_(7)x are inverses of each other.

A: Two functions f & g are inverses to each other by composition is (f∘g)(x)=x and (g∘f)(x)=x Here…

Q: Given that f(x)=2^(x)-1 and g(x)=log_(3)(x+5) determine the x value (s) where f(x)=g(x).

A: Given,  f(x)=2^(x)-1          g(x)=log_(3)(x+5)and f(x) = g(x)calculation of value of x are as…

Q: f(x)=log_(2)x that is 6 units to the right and 2 units up?

A: Parent function f(x)=log2x We have to find the equation of function that is 6 units to the right and…

Q: ite the logarithmic expression as a single (1)/(2)(log_(3)x+log_(3)y)-4log_(3)(x+5)

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Q: For the following equation, find x. log_(b)x=(2)/(3)log_(b)27+(1)/(2)log_(b)4-log_(b)6 x=2 (Type an…

A: The properties of logarithms are a set of rules that allow us to simplify expressions involving…

Q: ) f(x)= 3x 10 4

A: Solution- f(x) =3x4    we can write f(x) =y    To calculate inverse function, replace x and…

Q: Determine the real solutions to the syst y=log_(2)(3x+13)-10 y=log_(2)(x+5)-9

A: Ans-In this question we have to Determine the real solutions to the system  y = log₂(3x + 13) - 10 y…

Q: How is the graph of f(x) = logx transformed to get the graph of g(x) = logx^5?

A: we see that the  first graph given is  f(x)=logx  whereas the second graph given is g(x)=logx5  note…

Q: Let f(x)= 7x log(7x) log(x) ex °log(x) find f¹(x) F

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Q: Use the graph of f(x)=4^x to estimate the value of log 4 (27)

A: Introduction: Logarithms are another way of expressing exponents in mathematics. A number's…

Q: Solve A. t= x/log B. t=logx C. t=x^10 D. t=10^x

A: See the attachment

Q: Sketch the graph of the following:  Using interval notation, state the domain and range. State the…

A: a) The graph for the given function is shown in below figure.

Q: Let y = f(x) be the function. Use the definition of the logarithm to obtain the inverse functions x…

A: Solving

Q: y=log_((1)/(4))(x). Write your answer only as an interval in the corroctlv written answer: (-inf,…

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Q: the exact value of the logarithr log_(4)(2)+log_(4)(8)

A: Given that: log42+log48. To find:  Find the value of the logarithm. To find the value of the…

Q: Given the three basic functions: /(x) = sin x f(x) = log* f(x) = 2^* Determine how and which of the…

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Q: For the function f(x)=log_((1)/(3))(x)+3, determine whether the function is increasing or…

A: The given function fx=log13x+3. We have determine whether the function is increasing or decreasing.

Q: What is the equation of the inverse for this function?

A: we have to find the inverse of the function f(x)=log2(9x)

Q: (x)=log1.99^(6x+2.5) for x=4.63 Evaluate the ff function for the given value of x.

A: from given criteria we get f(x)=log1.99^(6×4.63+2.5) f(x)=log1.99^(27.78+2.5) f(x)=log1.99^(30.28)…

Q: for a function f(x) = log 1/4 (x) and g(x) =log^4(x), where is f>g and g>f

A: This is the problem of real-valued function.

Q: ln(1/121^k)  expand the logarithm

A: We have to expend ln by it's property