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Suppose that f(x) and g(x) are functions on $\mathbb{R}$ such that the range of f is [-5,3], and the range of g is $[-1,1]$. The range of f(x) + g(x) is [a,b]. What is the largest possible value of b?

 Sep 2, 2021
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The sum is limited by the small range of g       b = 1

 Sep 2, 2021

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