If #f(x) = x-2# and #g(x) = x^2-7x-9#, what is #f(g(-1))#?

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Answer 1 · 2017-02-25T15:55:32

The answer is #=-3#

This is a composition of functions

#f(x)=x-2#

#g(x)=x^2-7x-9#

#f(g(x))=f(x^2-7x-9)=x^2-7x-9-2#

#=x^2-7x-11#

Therefore,

#f(g(-1))=(-1)^2-7(-1)-11#

#=1+7-11=-3#