If in greatest integer function, the domain is a set of real numbers, then range will be set of
Real numbers
Rational numbers
Imaginary numbers
Integers
(d) $[x] = I$ (Integers only).
Let $S=\{1,2,3,4,5,6\}$. Then the number of oneone functions $f: S \rightarrow P(S)$, where $P(S)$ denote the power set of $S$, such that $f(n) \subset f(m)$ where $n < m$ is $………………$
The range of the function $f(x){ = ^{7 – x}}{\kern 1pt} {P_{x – 3}}$ is
If $f\left( x \right) + 2f\left( {\frac{1}{x}} \right) = 3x,x \ne 0$ and $S = \left\{ {x \in R:f\left( x \right) = f\left( { – x} \right)} \right\}$;then $S :$
Let $x$ denote the total number of one-one functions from a set $A$ with $3$ elements to a set $B$ with $5$ elements and $y$ denote the total number of one-one functions from the set $A$ to the set $A \times B$. Then …… .
Let $f(\theta ) = \sin \theta (\sin \theta + \sin 3\theta )$, then $f(\theta )$
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