Answered: Use the pair of functions to find…

Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers. f(x)=x−−√x+8, g(x)=x^2+9 f(g(x))= g(f(x))=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.9: Combining Functions

Problem 50HP

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Question

Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.

f(x)=x−−√x+8, g(x)=x^2+9

f(g(x))=

g(f(x))=

Expert Solution

Step 1

Given: $f (x) = x - \sqrt{x + 8}$ and $g (x) = x^{2} + 9$

The objective is to find f(g(x)) and g(f(x)).

Step by step

Solved in 3 steps

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