If $f(x) = x+8$ and $g(x) = x^2-6x-7$ , what is $f(g(2))$ ?

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Answer 1 · 2017-01-26T17:37:37

The answer is $=-7$

This is a composition of functions

$f(x)=x+8$

$g(x)=x^2-6x-7$

$f(g(x))=f(x^2-6x-7)=x^2-6x-7+8$

$=x^2-6x+1$

Therefore,

$f(g(2))=2^2-6*2+1=4-12+1=-7$

If f(x) = x+8f(x) = x+8 and g(x) = x^2-6x-7g(x) = x^2-6x-7, what is f(g(2))f(g(2))?