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hisyhauttaq84w

hisyhauttaq84w

Answered question

2022-05-12

If f ( x ) = sin ( π x 3 ) and g ( x ) = 4 x 3 + 2, what is f(g(x))'?

Answer & Explanation

cartonarepcpo4

cartonarepcpo4

Beginner2022-05-13Added 12 answers

Set up the composite result function.

f(g(x))

Evaluate f(4x3+2) by substituting in the value of g into f.

f(4x3+2)=sin(π(4x3+2)3)

Factor 2 out of 4x3+2.

f(4x3+2)=sin(π(2(2x3+1))3)

Move 2 to the left of π.

f(4x3+2)=sin(2π(2x3+1)3)


 

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