4. f(x) = x^2 + 2, g(x) = x^2 - 2, find a. (f ? g)(x) b. (g ? f)(x) c. (f ? g)(2) d. (g ? f)(2) 5. f(x) = x/(x + 1), g(x) = 4/x a. Find (f ? g)(x) b. Find the domain of f ? g 6. Express the function h as a composition of two functions f and g so that h(x) = (f ? g)(x) h(x) = ?(x^2 - 16)
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- Given \( f(x) = x^2 + 2 \) and \( g(x) = x^2 - 2 \), we need to find \( (f \circ g)(x) \). - \( (f \circ g)(x) = f(g(x)) \). - Substitute \( g(x) \) into \( f(x) \): \( f(g(x)) = f(x^2 - 2) \). - Now, \( f(x^2 - 2) = (x^2 - 2)^2 + 2 \). - Simplify: \( (x^2 - Show more…
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