Question

Use the functions f (x) = 1/8x - 3 and g (x) = x^3 to find the given value.

(f^-1 o g^-1) (1)

Answer 1

Step 1:

The functions are and .

Find inverse function of .

Change to .

Interchange and .

.

Solve for .

Change to .

.

Step 2:

Find inverse function of .

.

Change to .

.

Interchange and .

.

Solve for .

Change to .

.

Comments

Contd...

Step 3:

Find .

Substitute  in .

Substitute  in .

.

Solution:

.