For the given functions f and g

Question

find

a) ( fog)(4)

b) ( gof)(2)

c) ( fof)(1)

f (x) =2x and g(x) = 3x^2 +1

 

Answer 1

Step 1:

The functions are and

(a) To find .

Substitute in .

Substitute in .

.

Step 2:

(b) To find .

Substitute in .

Substitute in .

.

Step 3:

(c) To find .

Substitute in .

Substitute in .

.

Solution:

(a) .

(b) .

(c) .