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If h(x)=(fog)(x) and h(x)=5(x+1)^3, find f(x) and g(x).

Af(x)=5x^3, g(x)=(x+1)^3
Bf(x)=5x^3, g(x)=x+1
Cf(x)=x+1, g(x)=5x^3
Df(x)=(x+1)^3, g(x)=5x^3

Verified Answer :

i hope this helps you

View image Anonymous

(f o g)(x) means take the expression for f(x) and replace x by g(x). 

a. f(x) = 5x^3, so f(g(x)) = 5g(x)^3 = 5*[(x+1)^3] ^3 
b. f(x) = (x + 1)^3, so f(g(x)) = (g(x) + 1)^3 = (5x^3 + 1)^3 
c. f(x) = x + 1, so f(g(x)) = g(x) + 1 = 5x^3 + 1 
d. f(x) = 5x^3, so f(g(x)) = 5g(x)^3 = 5 (x + 1)^3 

So what choice is equal to h(x) ?


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