Let fx 2x2 3x 5 and gx 1 2x a Evaluate the function g

Let f(x) = 2x^2 + 3x - 5 and g(x) = 1 - 2x. (a) Evaluate the function g - f for x = -3. That is, find (g - f)(-3). Show work. (b) Evaluate the function fg for x = -3. That is, find (fg)(-3). Show work. (c) Find the difference function (f - g)(x) and simplify the results. Show work.

Solution

Dear Student Thank you for using Chegg !! f(x) = 2x^2 + 3x -5 g(x) = 1 - 2x a) g - f = 1 - 2x - 2x^2 -3x + 5 = -2x^2 -5x + 6 g-f(-3) = 3 b) fg = (1-2x)*(2x^2 + 3x -5) = -4x^3 -4x^2 + 10x - 5 fg(-3) = -4(-3)^3 -4(-3)^2 + 10(-3) - 5 = 37 c) f-g(x) = 2x^2 + 3x - 5 - 1 + 2x = 2x^2 + 5x - 6 Solution