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You can open this window by pressing command Option-Escape. Let f(x) = Squareroot 2x^2 + 1 and g(x) = 3x + 1. Complete parts a through e below Find (f + g)(x), (f - g)(x), and (fg)(x). (f + g) (x) = Squareroot 2x^2 + 1 + 3x + 1 (Simplify your answer.) (f - g) (x) = Squareroot 2x^2 - 1 - 3x - 1 (Simplify your answer.) (fg)(x) = (Simplify your answer.)

Solution

f(x) = sqrt(2x^2 +1) ; g(x) = 3x +1

( f + g)(x) = f(x) + g(x) = sqrt(2x^2 +1) + 3x +1

( f - g)(x) = sqrt(2x^2 +1) - 3x -1

(f g)(x) = f(x)*g(x) = [sqrt(2x^2 -1)](3x+1)