(a)

The function is .

Differentiate with respect to .

Since then .

Therefore is one to one function and is strictly monotonic.

(b)

To find the inverse of the function, consider and solve interms of .

Now interchange  and .

Replace .

The inverse of the function is .

(c)

Find the values of  and ,if

Now compare the values of , and constants

Comparing coefficients

Comparing values

.

Therefore and .

(a) is one to one function and is strictly monotonic.

(b) The inverse of the function is .

(c) and .