1

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let ƒ : (1, 3) $$ \to $$ R be a function defined by

$$f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}$$ , where [x] denotes the greatest integer $$ \le $$ x. Then the range of ƒ is

$$f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}$$ , where [x] denotes the greatest integer $$ \le $$ x. Then the range of ƒ is

2

JEE Main 2020 (Online) 8th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

The inverse function of

f(x) = $${{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}$$, x $$ \in $$ (-1, 1), is :

f(x) = $${{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}$$, x $$ \in $$ (-1, 1), is :

3

JEE Main 2020 (Online) 7th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

If g(x) = x

(goƒ) (x) = 4x

^{2}+ x - 1 and(goƒ) (x) = 4x

^{2}- 10x + 5, then ƒ$$\left( {{5 \over 4}} \right)$$ is equal to:4

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

For x $$ \in $$ (0, 3/2), let f(x) = $$\sqrt x $$ , g(x) = tan x and h(x) = $${{1 - {x^2}} \over {1 + {x^2}}}$$. If $$\phi $$ (x) = ((hof)og)(x), then $$\phi \left( {{\pi \over 3}} \right)$$
is equal to :

Questions Asked from Functions (MCQ (Single Correct Answer))

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