Consider the following functions. f(x) = x - 8, g(x) = x² Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) (-?,?) Find (f - g)(x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (f/g)(x). Find the domain of (f/g)(x). (Enter your answer using interval notation.)
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To find (f + g)(x), we need to add f(x) and g(x) together: (f + g)(x) = f(x) + g(x) = (x - 8) + x^2 So, (f + g)(x) = x^2 + x - 8. Show more…
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