(a)
\The function is .
Rewrite the function as .
Find the inverse function.
\Interchange the variables and
.
.
Substitute .
The inverse of the function is .
(b)
\Graph :
\Draw a coordinate plane.
\Graph the functions and
.
(c)
\The function is .
The inverse of the function is .
Observe the graph :
\The functions and
are symmetric about the line
.
(d)
\The function is .
Since is a polynomial function, domain is all real numbers.
Range of is all real numbers.
The inverse function is .
Domain of is all real numbers.
Range of is all real numbers.
(a)
\The inverse function is .
(b)
\The graph of the functions are and
.
(c)
\ and
are symmetric about
.
(d)
\Domain of is all real numbers.
Range of is all real numbers.
Domain of is all real numbers.
Range of is all real numbers.