By finding the inverse of f(x)=(2x-3)/(x+1)

Question

and checking it through f(f^-1(x))=x and f^-1(f(x)))=x 

Answer 1

Step 1:

The function is .

Find the inverse of the function.

Change .

Interchange and .

Solve for .

.

Change to .

, .

Step 2:

Check:

Find .

, .

.

.

Step 3:

Find .

, .

.

.

Solution:

, .