For x ∈ (0, 3/2 ), let f(x) = √(x), g(x) = tan x and h(x) = (1-x^2)/(1+x^2). If φ(x) = ((hof)og)(x), then φ ((π)/3 ) is equal to

For x ∈ (0, 3/2 ), let f(x) = √(x), g(x) = tan x and h(x) =… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 April · Shift I

For

x \in \left(0, \dfrac{3}{2}\right)

, let

f(x) = \sqrt{x}

g(x) = \tan x

and

h(x) = \dfrac{1-x^2}{1+x^2}

. If

\phi(x) = ((hof)og)(x)

, then

\phi\left(\dfrac{\pi}{3}\right)

is equal to

Show answer

Correct option: B

[JEE Main 2019 · 12 April · Shift I]

Practise Sets Relations and Functions the way it is asked

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