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Suppose that f(x) and g(x) are functions on R such that the range of f is [-5,3], and the range of g is [-2,1]. The range of f(x) + g(x) is [a,b]. What is the largest possible value of b?

 Jun 19, 2022
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What is the largest possible value of b?

 

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\(\{R_g,R_f\}\subset\{-5\le 3\ and -2\le1\}\\ a\le R_{g+f}\le b\\ \color{blue}b_{max}=(3+1)=4\)

laugh  !

 Jun 19, 2022

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