Question #658c3

1 Answer
Sep 10, 2016

Start inside the expression by finding gg "of" -1 or g(-1)g(1)

Substitute -11 for xx in g(x)g(x).
g(-1)= (-1)^2-7(-1)-9 = -1g(1)=(1)27(1)9=1

Now look at the "outside" part of the expression ff "of" g(-1)g(1).

We just found g(-1)= -1g(1)=1.
BTW, that's a coincidence that both x=-1x=1 and g(-1)= -1g(1)=1.

Substitute g(-1)g(1) in for xx in f(x)=x-2f(x)=x2.

f(g(-1)) = f(-1)= -1-2=-3f(g(1))=f(1)=12=3

I'm not sure why you've listed the numbers -21, -3, 3, and 21, but if you have to findf(g(x))f(g(x)) for these values, just follow the same process.