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September 3, 2014

September 3, 2014

Posted by **Erika** on Sunday, September 28, 2008 at 3:41pm.

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

- calculus ( Is there a simpler way to get answer?) -
**drwls**, Sunday, September 28, 2008 at 4:45pmI can't think of a better way to do it than your example.

g(x) = x/(x+2)

g[f(x)] = (x^2-1)/(x^2-1 +2)

= (x^2-1)/(x^2+1)

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