Question

For f(x) = 1/x-5 and g(x) = x^2+2, find:
A. the expression for g(x).
B. substitute the value of g(x) into the function f(x) in place of x to find the value of f(g(x)).

Answer 1

A? what is it asking for?
B... Well its telling you to do a composite function.. SO what we do is this:
f(g(x)).. so whats g(x)? g(x) is x^2+2... SO we have
f(x^2+2)... So what this means is that for the function of f we plug in x^2+2 for every time we see f... So....
f(g(x))= 1/(x^2+2)-5 Do you know how to simplify that?

Answer 2

All A says is find the expression for g(x) :O

Answer 3

is there a way to simplify f(g(x))= 1/(x^2+2)-5

Answer 4

\[\frac{ 1 }{ x ^{2}+2-5 } = \frac{ 1 }{ x ^{2}-3 }\] then youcan factor that but you get a rational/weird answer.. So i think leaving it like that should be fine

Answer 5

makes sense! so what would i do about problem A?

Answer 6

@Gerardo_cast23

Answer 7

Nothing i guess? Just rewrite g(x)? I googled stuff and cant find anything. Thats a weird/dumb question lol

Answer 8

okay thanks lol :p