NOW IT'S YOUR TURN! Directions: Find \((f - g)(x)\) using the given functions. 1. \(f(x) = 3x + 3\) \(g(x) = -4x + 1\) 2. \(f(x) = 2x + 5\) \(g(x) = 4x^2 + 2x - 2\) 3. \(f(x) = -15x^3 - 2x + 5\) \(g(x) = 3x^2 + x - 7\)
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f(x) = 3 + 3 g(x) = -4x + 1 To find (f g)(x), we need to substitute g(x) into f(x). (f g)(x) = f(g(x)) Substituting g(x) into f(x): (f g)(x) = 3 + 3(-4x + 1) Simplifying: (f g)(x) = 3 - 12x + 3 (f g)(x) = -12x + 6 Therefore, (f g)(x) = -12x + 6. Show more…
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