Question

Got one that has me stumped.
Given:f(x)=(x+5)/(x+2)
What would f(f(t^2)) equal?

Answer 1

If you replace the x in the function with a t^2, you would get this:\[\frac{ t ^{2}+5 }{t ^{2}+2 }\]There is no solution because you don't know what t is. So that is the function f(t^2). Now take that result and sub it in for the x's in the function again and simplify if possible.

Answer 2

This gets really crazy here, but try to follow: We are going to sub in that t^2+5/t^2+2 in for the x in the function again and when we do that this is what you get: