Horizontal line test:
\A function has an inverse
if and only if no horizontal line intersects its graph of the function in at most one point.
The function is a one-to-one function.Therefore the inverse of the function does exist.
Let us consider table of and
.
Observe the Table.
\Domain of the function is
.
Range of the function is
.
If the function is one-to-one, then range of inverse function is domain of the function and domain of inverse function is range of the function.
\Domain of the inverse function is
.
Range of the inverse function is
.
The table of inverse function .
![]() | \
8 | \7 | \6 | \5 | \4 | \3 | \
![]() | \
-10 | \-9 | \-8 | \-7 | \-6 | \-5 | \