Question

If ƒ(x) = x + 2 and g(x) = 3x2 + 7x, find ....

Answer 1

The correct answer is option C

(f o g)(x) = 3x² + 7x + 2

Explanation:

Points to remember

Composite functions

Let f(x) and g(x) be the two functions then (f o g)(x) can be written as

(f o g)(x) = f(g(x))

To find the value of (f o g)(x)

Here f(x) =x + 2 and g(x) = 3x² + 7x

(f o g)(x) = f(g(x))

= f(3x² + 7x)

= 3x² + 7x + 2

Therefore the correct answer is option C

(f o g)(x) = 3x² + 7x + 2