Question - Subtraction of Functions with Given Values
Solution:
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 - 1h(-1) = 2(-1)^2 + (-1) - 1h(-1) = 2(1) - 1 - 1h(-1) = 2 - 1 - 1h(-1) = 0g(x) = 4x - 5g(-1) = 4(-1) - 5g(-1) = -4 - 5g(-1) = -9Now calculate h(-1) - g(-1):h(-1) - g(-1) = 0 - (-9)h(-1) - g(-1) = 0 + 9h(-1) - g(-1) = 9Therefore, the value of h(-1) - g(-1) is 9, which corresponds to option (b).
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