Question

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

A) 6 – 3 – (4 + 3)2

B) 6 – 3 – (4 – 32)

C) 6(3) – 4 + 32

D) 6(3) – 4 – 32

Answer 1

I hope this helps you

Answer 2

Answer: The correct option is

(C)
`6(3)-4+3^2.`

Step-by-step explanation: We are given two functions f(x) and g(x) as follows :

`f(x)=4-x^2,\\\\g(x)=6x.`

We know that for any two functions p(x) and q(x), we have

`(p-q)(x)=p(x)-q(x).`

Therefore, we get

`(g-f)(x)=g(x)-f(x)=6x-(4-x^2)=6x-4+x^2\\\\\\\Rightarrow (g-f)(3)=6(3)-4+3^2.`

Thus, (C) is the correct option.