Question

The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 3x + 8 and g(x) = x2.

Find (f • g)(x).


3x3 + 3x2 + 8


3x2 + 8


x2 − 3x − 8


3x3 + 8x2

Answer 1

Answer:B

Explanation:

Answer 2

`3x^2 + 8`

Explanation:

Given functions,

`f(x) = 3x + 8 ----(1)`

`g(x) = x^2 -----(2)`

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

`=f(x^2)` ( From equation (2) )

`=3x^2 + 8` ( From equation (1) )

Hence,

`(fog)(x)=3x^2 + 8`

Second option is correct.