Question

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)

Answer 1

We first calculate the expression for (g - f)(x) by subtracting f from g: 6x - (4 - x^2) = x^2 + 6x - 4
Then since we need to calculate the value for x = 3:
(g - f)(3) = 3^2 + 6(3) - 4 = 9 + 18 - 4 = 23
Therefore, (g - f)(3) = 23.