Answer:
b. 4
Explanation:
Given f(x) = 4x - 4 and g(x) = x - 1, we can find (f/g)(x) by dividing f(x) by g(x):
(f/g)(x) = (4x - 4)/(x - 1)
Now, substituting x = -4 into the expression
(f/g)(-4) = (4*(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4
Therefore, the correct answer is b. 4.
Given the function g(x) = x - 1, let's solve (f/g)(-4) using the function f(x) = 4x - 4.
To find (f/g)(-4), we need to evaluate the expression (f(x)/g(x)) at x = -4.
First, let's find the value of f(x)/g(x) for any x:
(f/g)(x) = f(x)/g(x) = (4x - 4)/(x - 1)
Now, substituting x = -4 into the expression:
(f/g)(-4) = (4(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4
Therefore, the correct answer is b. 4.