Philip P. answered • 07/08/14

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f(x) = 8x + 2

g(x) = x

^{2}- 8To take the composition of f and g (fog), replace the x in f(x) with g(x):

(fog)(x) = 8g(x) + 2 [f(x) = 8x + 2]

(fog)(x) = 8(x

^{2}- 8) + 2 [since g(x) = x^{2}-8](fog)(x) = 8x

^{2}- 64 + 2(fog)(x) = 8x

^{2}- 62For a primer on composition of functions, check out the following:

http://www.mathsisfun.com/sets/functions-composition.html