\[f(x)\]
1. Replace
\[f(x)\]
by \[y\]
.2. Make
\[x\]
the subject.3. Swap
\[x\]
and \[y\]
over.4. Replace
\[y\]
by \[f^{-1}(x)\]
Example:
\[f(x)=x^2-1\]
1.
\[y=x^2-1\]
2.
\[x=\sqrt{y+1}\]
3.
\[y=\sqrt{x+1}\]
4.
\[f^{-1}(x)= \sqrt{x+1}\]
To get the graph of
\[f^{-1}(x)\]
reflect the graph of \[f(x)\]
in the line \[y=x\]