Question
Prove that if $f:(a, b) \rightarrow(c, d)$ and $g:(c, d) \rightarrow(\alpha, \beta)$ are invertible, then $g$ o $f$ is invertible.
Step 1
Since $f$ is a function from $(a, b)$ to $(c, d)$ and $g$ is a function from $(c, d)$ to $(\alpha, \beta)$, their composition $g \circ f$ is a function from $(a, b)$ to $(\alpha, \beta)$. Show more…
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