Given the functions f x <mo stretchy="false">) = <mroot> <mrow> 6 x

Yaritza Oneill

Yaritza Oneill

Answered question

2022-05-12

Given the functions f ( x ) = 6 x + 2 3 and g ( x ) = e 5 x + 7 , compute f(g(x))'.

Answer & Explanation

Kylan Simon

Kylan Simon

Beginner2022-05-13Added 17 answers

Set up the composite result function.

f(g(x))

Evaluate f(e5x+7) by substituting in the value of g into f.

f(e5x+7)=6(e5x+7)+23

Factor 2 out of 6e5x+7+2.

f(e5x+7)=2(3e5x+7+1)3

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