Question

Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x). Question 8 options: A) (g · ƒ)(x) = –3x2 – 3 B) (g · ƒ)(x) = –3x2 + 3 C) (g · ƒ)(x) = 3x2 – 3 D) (g · ƒ)(x) = 3x2 + 3

Answer 1

Answer:

A

Step-by-step explanation:

We are given the two functions:

$f(x)=x^2+1\text{ and } g(x)=-3$

And we want to find:

$(g\cdot f)(x)$

This is equivalent to:

$=g(x)\cdot f(x)$

Substitute:

$=(-3)\cdot (x^2+1)$

Distribute:

$=-3x^2-3$

Therefore:

$(g\cdot f)(x)=-3x^2-3$

So, our answer is A.