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Jina ine 91. f(x)= 3x - 1 94. f(x)=3x2+2x h 92. f(x) = -2x + 3 1 95. f(x)= *-3¹**3 93. f(x)=-x²+x 1 96. f(x)= x-1 x+1'

Jina ine 91. f(x)= 3x - 1 94. f(x)=3x2+2x h 92. f(x) = -2x + 3 1 95. f(x)= *-3¹**3 93. f(x)=-x²+x 1 96. f(x)= x-1 x+1'

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 93, please.

### Exercises and Examples on Function Composition and Difference Quotient #### Exercises 77-82 - **77.** \( h(x) = \frac{1}{2x+5} \) - **78.** \( h(x) = \frac{3}{x^2 + 1} \) - **79.** \( h(x) = \sqrt{x^2 + 1} + 5 \) - **80.** \( h(x) = (4(2x + 9)5 - (2x + 9)^8 \) - **81.** \( h(x) = \sqrt{5x + 7} - 2 \) - **82.** \( h(x) = (3x - 7)10 + 5(3x - 7)^2 \) #### Exercises 83-86 (Let \( f(t) = -t^2 \) and \( g(x) = x^2 - 1 \)) - **83.** Evaluate \( (f \circ f)(-1) \). - **84.** Evaluate \( (g \circ g)\left(\frac{1}{2}\right) \). - **85.** Find an expression for \( (f \circ f)(t) \), and give the domain of \( f \circ f \). - **86.** Find an expression for \( (g \circ g)(x) \), and give the domain of \( g \circ g \). #### Exercises 87-90 (Let \( f(t) = 3t + 1 \) and \( g(x) = x^2 + 4 \)) - **87.** Evaluate \( (f \circ f)(2) \). - **88.** Evaluate \( (g \circ g)\left(\frac{1}{2}\right) \). - **89.** Find an expression for \( (f \circ f)(t) \), and give the domain of \( f \circ f \). - **90.** Find an expression for \( (g \circ g)(x) \), and give the domain of \( g \circ g \). #### Exercises 91-96 Find the difference quotient \(\frac{f(x + h) - f(x)}{h},\) \(h \neq 0\), for the given function \( f \
Transcribed Image Text:### Exercises and Examples on Function Composition and Difference Quotient #### Exercises 77-82 - **77.** \( h(x) = \frac{1}{2x+5} \) - **78.** \( h(x) = \frac{3}{x^2 + 1} \) - **79.** \( h(x) = \sqrt{x^2 + 1} + 5 \) - **80.** \( h(x) = (4(2x + 9)5 - (2x + 9)^8 \) - **81.** \( h(x) = \sqrt{5x + 7} - 2 \) - **82.** \( h(x) = (3x - 7)10 + 5(3x - 7)^2 \) #### Exercises 83-86 (Let \( f(t) = -t^2 \) and \( g(x) = x^2 - 1 \)) - **83.** Evaluate \( (f \circ f)(-1) \). - **84.** Evaluate \( (g \circ g)\left(\frac{1}{2}\right) \). - **85.** Find an expression for \( (f \circ f)(t) \), and give the domain of \( f \circ f \). - **86.** Find an expression for \( (g \circ g)(x) \), and give the domain of \( g \circ g \). #### Exercises 87-90 (Let \( f(t) = 3t + 1 \) and \( g(x) = x^2 + 4 \)) - **87.** Evaluate \( (f \circ f)(2) \). - **88.** Evaluate \( (g \circ g)\left(\frac{1}{2}\right) \). - **89.** Find an expression for \( (f \circ f)(t) \), and give the domain of \( f \circ f \). - **90.** Find an expression for \( (g \circ g)(x) \), and give the domain of \( g \circ g \). #### Exercises 91-96 Find the difference quotient \(\frac{f(x + h) - f(x)}{h},\) \(h \neq 0\), for the given function \( f \
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