Given a function
we can find
for any value of
Substitute the value for
into
If
then obtainwhen
by finding
By finding the inverse of a function we can find x for any value ofif this can be done.
The Procedure is:
-
Let
-
Rearrange to make
the subject. -
Swap
and
. -
Replace
by
-
The graph of
can be obtained by reflecting the graph of
in the diagonal line
Example: The graph of
is sketched below.
Make
the subject:
Swap
and
Replace
by
