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 fk(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 f4(x) $$-$$ f6(x) is equal to
3
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)n.
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 $$ \in $$ R : x is not a positive integer}.
Define a function $$f$$ : A $$ \to $$ R as $$f(x)$$ = $${{2x} \over {x - 1}}$$,
then $$f$$ is :
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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