Answered: If f(x)=1/3x+13 and g(x)=3x^2+6x+12,…

Name: If f(x)=1/3x+13 and g(x)=3x^2+6x+12, which expression represents f(g(
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Description: If f(x)=1/3x+13 and g(x)=3x^2+6x+12, which expression represents f(g(x))?

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter8: Roots And Radicals

Section8.7: Use Radicals In Functions

Problem 408E: Explain why the process of finding the domain of a radical function with an even index is different...

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If f(x)=1/3x+13 and g(x)=3x^2+6x+12, which expression represents f(g(x))?

Expert Solution

Step 1

Given that

f(x) = 1/3x + 13 and g(x) = 3x² + 6x + 12

we need to find the value of f(g(x)).

Now,

Replace the value of x in f(x) by g(x)

So,

f(g(x)) = 1/3(x² + 6x + 12) + 13

= 1/(3x² + 18x + 36) + 13

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