Question

Find f-1(x) if f(x) = 2x/3-4

Answer 1

Given:

The function is:

To find:

The inverse of the given function, i.e.,
.

Solution:

We have,

Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Isolate y.

Step 4: Substitute
.

Therefore, the inverse of the given function is
.