Question: 8.Let f ( x ) = 5 x 2 - 2 x + 8 and g ( x ) = 1 - 3 x .

8.Letf (x) = 5x2 - 2x + 8 andg(x) = 1 - 3x.

(a) Evaluate the function f for x = a + 3. That is, find f (a + 3) and simplify. Show work.

(b) Evaluate the product function fg for x = -1. That is, find (f g)( -1). Show work.

(c) Find the difference function (f- g)(x) and simplify the results. Show work.

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