Question

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

f(x) = 4x − 4

g(x) = x − 1
−20
−4
4
one fourth

Answer 1

`\left((f)/(g)\right)(x)=(f(x))/(g(x))\\\\f(x)=4x-4;\ g(x)=x-1\\\\f(-4)=4\cdot(-4)-4=-16-4=-20\\\\g(-4)=-4-1=-5\\\\\left((f)/(g)\right)(x)=(-20)/(-4)=4`

Answer 2

Third option is correct.

Explanation:

The given function are

`f(x)=4x-4`

`g(x)=x-1`

We have to find the value of
`((f)/(g))(-4)`.

`((f)/(g))(-4)=(f(-4))/(g(-4))`

Substitute x=-4 in both functions.

`f(-4)=4(-4)-4=-20`

`g(-4)=(-4)-1=-5`

`(f(-4))/(g(-4))=(-20)/(-5)=4`

Therefore option 3 is correct and the value of
`((f)/(g))(-4)` is 4.