Example Question - subtraction of functions

Subtraction of Functions with Given Values

To solve for the value of h(-1) - g(-1), you'll first need to substitute x = -1 into both functions h(x) and g(x), and then perform the subtraction. h(x) = 2x^2 + x - 1 h(-1) = 2(-1)^2 + (-1) - 1 h(-1) = 2(1) - 1 - 1 h(-1) = 2 - 1 - 1 h(-1) = 0 g(x) = 4x - 5 g(-1) = 4(-1) - 5 g(-1) = -4 - 5 g(-1) = -9 Now calculate h(-1) - g(-1): h(-1) - g(-1) = 0 - (-9) h(-1) - g(-1) = 0 + 9 h(-1) - g(-1) = 9 Therefore, the value of h(-1) - g(-1) is 9, which corresponds to option (b).