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Given that f(r) = 2x + 1, g(r) =r² - 7, h(x) = r Evaluate each of the following %3D (a) (fog)(-1) (b) (go f)(-2) (c) (ho g)(3) (d) (foh)(3) (e) (goh)(-2) (f) (ho f)(-2)

Given that f(r) = 2x + 1, g(r) =r² - 7, h(x) = r Evaluate each of the following %3D (a) (fog)(-1) (b) (go f)(-2) (c) (ho g)(3) (d) (foh)(3) (e) (goh)(-2) (f) (ho f)(-2)

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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7. Given that f (x) = 2x + 1, g(x) = r2 – 7, h(x) = r Evaluate each of the following: (a) (fog)(-1) (b) (go f)(-2) (c) (ho g)(3) (d) (foh)(3) (e) (goh)(-2) (f) (ho f)(-2)
Transcribed Image Text:7. Given that f (x) = 2x + 1, g(x) = r2 – 7, h(x) = r Evaluate each of the following: (a) (fog)(-1) (b) (go f)(-2) (c) (ho g)(3) (d) (foh)(3) (e) (goh)(-2) (f) (ho f)(-2)
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.

f\left(x\right)=2x+1,\:\:\:\:\:\:g\left(x\right)=x^2-7,\:\:\:\:h\left(x\right)=x^3

.

\left(f\:\circ \:g\right)\left(-1\right)=f\left(g\left(-1\right)\right)

\left(f\:\circ \:g\right)\left(-1\right)=f\left(\left(-1\right)^2-7\right)

\left(f\:\circ \:g\right)\left(-1\right)=f\left(1-7\right)

\left(f\:\circ \:g\right)\left(-1\right)=f\left(-6\right)

\left(f\:\circ \:g\right)\left(-1\right)=2\left(-6\right)+1

\left(f\:\circ \:g\right)\left(-1\right)=-12+1

{\color{red} \left(f\:\circ \:g\right)\left(-1\right)=-11}

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