1

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let f : R $$ \to $$ R be defined by f(x) = $${x \over {1 + {x^2}}},x \in R$$. Then the range of f is :

2

JEE Main 2019 (Online) 11th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let f

_{k}(x) = $${1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)$$ for k = 1, 2, 3, ... Then for all x $$ \in $$ R, the value of f_{4}(x) $$-$$ f_{6}(x) is equal to3

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let N be the set of natural numbers and two functions f and g be defined as f, g : N $$ \to $$ N such that

f(n) = $$\left\{ {\matrix{ {{{n + 1} \over 2};} & {if\,\,n\,\,is\,\,odd} \cr {{n \over 2};} & {if\,\,n\,\,is\,\,even} \cr } \,\,} \right.$$;

and g(n) = n $$-$$($$-$$ 1)

Then fog is -

f(n) = $$\left\{ {\matrix{ {{{n + 1} \over 2};} & {if\,\,n\,\,is\,\,odd} \cr {{n \over 2};} & {if\,\,n\,\,is\,\,even} \cr } \,\,} \right.$$;

and g(n) = n $$-$$($$-$$ 1)

^{n}.Then fog is -

4

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let A = {x $$ \in $$

Define a function $$f$$ : A $$ \to $$

then $$f$$ is :

**R**: x is not a positive integer}.Define a function $$f$$ : A $$ \to $$

**R**as $$f(x)$$ = $${{2x} \over {x - 1}}$$,then $$f$$ is :

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

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