calculus ( Is there a simpler way to get answer?)
posted by Erika on .
Given the functions:
f(x) = x^2  1, g(x) = x/x + 2
Why is the followig the equation of (g o f)(x)
THe answer is x^2  1 / x^2 + 1
This is how I got the answer with someone's help:
Assume you forgot parenthese
g(x) = x / (x + 2)
g = x^2  1) / (x^2  1 + 2)
= (x^2  1)/(x^2 + 1)
Is there a simpler way to get the answer?
Thank you for any further assistance

I can't think of a better way to do it than your example.
g(x) = x/(x+2)
g[f(x)] = (x^21)/(x^21 +2)
= (x^21)/(x^2+1)