f(x + h) – f(x) Aln Problems 75–82, find the difference quotient of f; that is, find ,h + 0, for each function. Be sure to simplify. 75. f(x) = 4x + 3 1 76. f(х) 3D-Зх +1 77. f(х) — х - х +4 78. f(x) = 3x² – 2x + 6 1 79. f(x) = = 80. f(x) 81. f(x) = Vĩ 82. f(x) = Vx + 1 %3D x +3 [Hint: Rationalize the numerator.]

f(x + h) – f(x) Aln Problems 75–82, find the difference quotient of f; that is, find ,h + 0, for each function. Be sure to simplify. 75. f(x) = 4x + 3 1 76. f(х) 3D-Зх +1 77. f(х) — х - х +4 78. f(x) = 3x² – 2x + 6 1 79. f(x) = = 80. f(x) 81. f(x) = Vĩ 82. f(x) = Vx + 1 %3D x +3 [Hint: Rationalize the numerator.]

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section: Chapter Questions

Problem 23CLR

See similar textbooks

Related questions

Q: Suppose f(x) = 3x2 – 4x + 6. Compute the followir A.) f( – 4) + f(5) B.) f( – 4) – f(5) =

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is y = a(b)x

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: 4 -2 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) 1 -6 Let B =

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Let f(x) =-3x+4 and g(x) =-x² +4x+1. Find and simplify each of the following. (5) f(-x) (6) gt-)

A: In function f(x) ,X replace by -x and function g(x),x replace by -1/4.

Q: Specify the symmetry of the following functions: (a) y (x1, x2) = 4(x1 – x2)² + T0 xf+x3 (b) p(x1,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system…

Q: Suppose the coordinate (2, -4) is on the function k(x). If h(x) = k(x + 10) + 5, when k (x) is…

Q: Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

A: The solution is given below:

Q: If h(x) =x +√ x find h-1(6)

A: Givenhx=x+xTo find h−1x=6

Q: 3. Three functions are shown: f(x) = (x + 2)² - 2, g(x), and h(x). Determine an equation for g(x)…

A: The graph of the function and the graph are given.The aim is to find the equation of the functions…

Q: If ƒ (x) = (2x+1) ³ (x-3) 4 4 then f(0) =

A: Given: f(x) = 2x+13x-34

Q: Find f(a+h) when f(x) = 2x² + 5x -4.

Q: Part B: If f(x) = x3 – 1 find f1(3) and f(f-(7)).

Question

f(x + h) – f(x)
Aln Problems 75–82, find the difference quotient of f; that is, find
,h + 0, for each function. Be sure to simplify.
75. f(x) = 4x + 3
1
76. f(х) 3D-Зх +1
77. f(х) — х - х +4
78. f(x) = 3x² – 2x + 6
1
79. f(x) = =
80. f(x)
81. f(x) = Vĩ
82. f(x) = Vx + 1
%3D
x +3
[Hint: Rationalize the
numerator.]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)
3. Three functions are shown: f(x) = (x + 2)² – 2, g(x), and h(x). Determine an equation for g(x) and h(x) in the same form as f(x). f(x) = (x + 2)²2 XXX 2 Answer: (4) h(x) g(x)/
If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. a. (f + g)(– 2) b. (g - )(- 4) c. (f • g)(1) d. (3) a. (f+ g)( – 2) = | (Simplify your answer.)
4 -2 Let B 1 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) = -6 | II
Can you help me out with this. Please show all the steps
Select all of the statements that are true for the function g (x) = -3f(x + 4)-2. O f(r) is shifted 4 units to the right. O Iff (x) = 2x² then g (x) = -6(r + 4)² – 2 Oirf (2) = - 2x* + 5 then g (x) = -3 ( –2(x + 4)² + 5) – 2 2(x + 4) + 5 ) –: O (x) is shifted down 2 units. O (x) is reflected vertically. 0is reflected horizontally 0() is compressed vertically by a factor of negative 3. O If f (2) = 2x² then g (x) = -6(x +4)² – 4 6(r + O If f (x) = -2a² + 5 then g (x) = 6(2 + 4) + 5 2 6(2 + 4) + 5 – 2 O f(2) is stretched vertically by a factor of 3.
pos Let f(x) 3x + 8. Let g(x) = 3x + 7. Evaluate f(g(4)). !! Round your answer to the nearest HUNDREDTH (two digits to the right of the decimal point):
8x 8 8. la Creaph the function fu) = 2xcX-4) Cxt 3] 2x(x-41(x+3)
If h(x) = 8x – 3, find 3[h(x)]² – 7 -
If f(3x)=4x+1 , determine f(7x)
Are these two functions equivalent? Justify your answer in more than one way. i) g(x)= -4(2x+6)^2 –11 ii) y= -16x^2 –96x–151
5