Let Find the value of k that will make f continuous on (–?,?).

a. 5
b. 46
c. –4
d. 3

d. 3

Mathematics

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Provide an appropriate response.Assume that f(x) and g(x) are two functions with the following properties: g(x) and f(x) are everywhere continuous, differentiable, and positive; f(x) is everywhere increasing and g(x) is everywhere decreasing. Which of the following functions are everywhere decreasing? Prove your assertions.i). h(x) = f(x) + g(x)ii). j(x) = f(x) ? g(x)iii). k(x) = iv). p(x) = g(x)v). r(x) = f(g(x)) = (f ? g)(x)