Show that f(x) = (1/x+5) is decreasing for all x ∈ R, where x ≠ 0 – InterviewSolution

1.

Show that f(x) = (1/x+5) is decreasing for all x ∈ R, where x ≠ 0.

Answer»

f(x) = 1/x+5

domain of function is R-{0}

f'(x) = -1/x²

for all x, f’(x)<0

Hence function is decreasing.

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