Answered

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

Verified Answer :

dalendrk

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

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.

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