Final answer:
To find f(-4) for the function f(x) = -3/4x, substitute -4 into the function, which gives f(-4) = (-3/4) × (-4/1) = 12/4, and simplifying that yields f(-4) = 3.
Step-by-step explanation:
To find the value of f(-4) for the function f(x) = -3/4x, we simply substitute x with -4:
f(-4) = -3/4(-4) = (-3/4) × (-4/1)
Multiply the numerators and the denominators:
f(-4) = (-3 × -4) / (4 × 1)
The multiplication of -3 and -4 gives 12, and the multiplication of 4 and 1 gives 4:
f(-4) = 12/4
Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
f(-4) = 3
Therefore, f(-4) equals 3 in simplest form.