Question

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

Answer 1

Answer:

Third option is correct.

Step-by-step explanation:

The given function are

$f(x)=4x-4$

$g(x)=x-1$

We have to find the value of $(\frac{f}{g})(-4)$.

$(\frac{f}{g})(-4)=\frac{f(-4)}{g(-4)}$

Substitute x=-4 in both functions.

$f(-4)=4(-4)-4=-20$

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

$\frac{f(-4)}{g(-4)}=\frac{-20}{-5}=4$

Therefore option 3 is correct and the value of $(\frac{f}{g})(-4)$ is 4.

Answer 2

$\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\f(x)=4x-4;\ g(x)=x-1\\\\f(-4)=4\cdot(-4)-4=-16-4=-20\\\\g(-4)=-4-1=-5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{-20}{-4}=4$