Calculus, 8th Edition,stewart; page 44 problem 45

Question

Express the function in the form f o g.

F (x) = ∛x/(1 + ∛x)

Answer 1

Step:1

The function is .

 is in the form of composite function .

.

Definition of composite function:

The notation  means that the function  is applied first and then  is applied.

Consider .

.

From the above expression,  and .

Solution:

 and .