MonotonicityHard

Question

A function y = f(x) is given by x = & y = for all t > 0 then f is :

Options

A.increasing in (0,3/2) & decreasing in (3/2, ∞)

B.increasing in (0, 1)

C.increasing in (0, ∞)

D.decreasing in (0, 1)

Solution

⇒ > 0 ∀ t > 0
Now, x =
t > 0 ⇒ x ∈ (0, 1)

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