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If f(x) = x2 + x and g(x) = x - 8, what is f(g(x))?

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2 Answers

f(x) = x^2 + x
g(x) = x-8
 
f(g(x)) simply means that we replace whatever we see for x [in f(x)]  with  g(x).
 
This means that we have g(x)^2 + g(x)
 
but g(x) = x-8.
 
(x-8)^2 + (x-8)
 
FOIL :  (x-8)(x-8) =  x^2 - 16x + 64
 
x^2 -16x + 64   +  x - 8
 
x^2 -15x + 56   <---- ANSWER
 
 
Hope this helps!