SOLUTION: For f(x)=8x+6 and g(x)= x squared find (g of f)(x)

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Question 380907: For f(x)=8x+6 and g(x)= x squared find (g of f)(x)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you are given:

f(x) = 8x+6
g(x) = x^2

you want to find:

g(f(x))

start with g(x) = x^2

replace x with f(x) to get g(f(x)) = (f(x))^2

replace f(x) with 8x+6 to get g(8x+6) = (8x+6)^2

solve by squaring 8x+6 to get g(f(x)) = 64x^2 + 96x + 36