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## Homework Statement

Let f: A→B and g: B→C both be bijections. Prove that the composed function f

_{og}is also a bijection. Write (f

_{og})

^{-1}in terms of f

^{-1}and g

^{-1}.

## Homework Equations

f

_{og}= f(g(x))

## The Attempt at a Solution

I know what the composed function means and what bijective means (one-to-one). I can do these problems when I have values for f(x) and g(x) but I'm having trouble with this type of problem. I nod in the right direction would be much appreciated.

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