Answered: Find: a. (f ∘ g)(x) b. (g ∘ f)(x) c.…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 16CT

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Question

Find: a. (f ∘ g)(x) b. (g ∘ f)(x) c. (f ∘ g)(2) d. (g ∘ f)(2), given f(x) = 5x + 2, g(x) = 3x - 4

Expert Solution

Step 1

Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts for you. To get remaining sub-part solved please re-post the complete question and mention the sub-parts to be solved.

Step 2

Given

$\begin{array}{rcl} f (x) & = & 5 x + 2 \\ g (x) & = & 3 x - 4 \end{array}$

To find

$a . (f o g) (x) b . (g o f) (x) c . (f o g) (2)$

Step 3

$a . (f o g) (x)$

$\begin{array}{rcl} (f o g) (x) & = & f (g (x)) \\ = & f (3 x - 4) \\ = & 5 (3 x - 4) + 2 \\ = & 15 x - 20 + 2 \\ = & 15 x - 18 \end{array}$

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