f(x)=x−3 and g(x)=4x2−3x−9g(x)=4x^2−3x−9. Find composite function f∘g and g∘f

Jerold

Jerold

Answered question

2021-01-15

f(x)=x−3 and g(x)=4x23x9g(x)=4x23x9. Find composite function fg and gf

Answer & Explanation

Luvottoq

Luvottoq

Skilled2021-01-16Added 95 answers

We are given: f(x)=x-3 and g(x) = 4x23x9
To find f o g replace x of x by g(x) and simplify:
(fg)(x)=f(g(x))=(4x23x9)3=4x23x12
To find g o f, replace x of g by f(x) and simplify:
(gf)(x)=g(f(x))=4((x3)2)3(x3)9=4(x26x+9)3(x3)9=4x224x+363x+99=4x227x+36

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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