Calculus, 8th Edition,stewart; page 44 problem 49

Question

Express the function in the form f o g o h.

R (x) = √(√x - 1)

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,  is second and then .

Assume .

Now consider .

From the above expression ,  and .

Solution:

,  and .