how to find the range of composition of functions
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The range of a function is the set of all values a function can take. For example, the range of the function f(x) = ex is given by f(x) > 0, because ex is always greater than zero. As another example, if f(x) = sin x then the range is given by −1 ≤ f(x) ≤ 1. gf(x) = g(x − 8) = (x − 8)2 = x2 − 16x + 64 ≥ 0 .
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