We are told that f(x) = 2 - 4x and we want to find f(-5).
To do this, we put -5 in for x in all places on both sides of the equals sign. The left side tells us the input while the right side tells us the output.
f(x) = 2 - 4x
f(-5) = 2 - 4(-5) <--------- notice how x and - 5 match
f(-5) = 2 - (-20) by applying the multiplication of 4 and -5
f(-5) = 2 + 20 by applying the parentheses
f(-5) = 22
Thus, f(-5) is 22 and choice D is best.