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Recent questions tagged relations-and-functions
Questions
If $A=\{1,2\},$ then how many binary operations having 1 as identity and 2 as inverse of 2 are possible?
jeemain
math
class12
ch1
relations-and-functions
binary operation
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?
jeemain
math
class12
ch1
relations-and-functions
binary operation
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
What is range of $f(x)=^{7-x}P_{x-3}$
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $g(x)=x^2+x-2\:\:and\:\:\large\frac{1}{2}$$gof(x)=2x^2-5x+2$ then $ f(x)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=[x]^2+[x+1]-3$ where $[x]$ is greatest integer of $x$, then what type of function is $f$?
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\left\{\begin{array}{c,c} |x| &x \leq 1 \\2-x &x>1\end{array}\right.$, then $fof(x)=?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f:A\rightarrow B$ is defined as $f(x)=\sqrt 3 sinx+cosx+4$ and $f$ is invertible then find A.
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
The value of $a\:\:and\:\:b$ for which $f:R\rightarrow R$ is defined as $f(x)=ax+b$ where $a,b\in R $ is bijection with $fof$ as its identity is ?
jeemain
math
class12
ch1
relations-and-functions
types of relations
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
Find the linear functions that maps $[-1,1]$ onto $[0,2]$.
jeemain
math
class12
ch1
relations-and-functions
types of functions
difficult
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3,4\}\:and\:B=\{3,4,7\}$ then the no. of onto functions from $A\rightarrow B$=?
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$, then find $f^{-1}(A)$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:[1,\infty )\rightarrow\:[2,\infty)$ is defined as $f(x)=x+\large\frac{1}{x}$ then find $f^{-1}(x)$.
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f:A\rightarrow B$ is defined as $f(x)=x^2-x+1$ so that $f(x)=f^{-1}(x)$ then the solution set of $x$ is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f(x)=x^2-x+1$ so that $f(x)=f^{-1}x$ then the solution set of $x$ is ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
0
answers
If $f(x)=x^n$, $n\in N$ and $gof(x)=ng(x)$, then $g(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:A\rightarrow B$, $3^{f(x)}+2^{-x}=4$ and $f(x)$ is bijection then the domain $A$ of $f(x)$ is ?
jeemain
math
class12
relations-and-functions
types of relations
medium
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
If $f:Z\rightarrow Z $ is defined as $f(x)=x^2+ax+b$ then the values of $a$ and $b$ are ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
$If A\{x,y,z\},\:\:B=\{1,2,3\}$ and $f:A\rightarrow B\:\:is\:1-1\:$function. Also one out of the following statements, $f(z)\neq 2,\:\:f(x)=1\:\:and\:\:f(y)\neq 1$ is true. then $f^{-1}(1)=?$
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $ A=\{x:x\in R\:and\:x\geq 1\}$ and $ f:A\rightarrow A$ is defined as $f(x)=2^{x(x-1)},$ then find $ f^{-1}(x).$
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=6^x+6^{|x|}$ then what type of function is $f$ ?
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f(X)=\large\frac{kx}{1+x}$, $x\neq1$ and $fof(x)=x$, then find $k$.
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{-1,0,1\}$ and $f:A\rightarrow A$ is defined as $f(x)=x^2$, then what type of function is $f$ ?
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
easy
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=x^2+1$ then $f^{-1}(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is defined as $f(x)=3x-5$, then $f^{-1}(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition of functions
easy
asked
May 24, 2013
by
rvidyagovindarajan_1
1
answer
Range of $f(x)=\large\frac{x-[x]}{1+x-[x]}$ where $[x]$ is greatest integer function.
jeemain
math
class12
ch1
relations-and-functions
types of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Domain of $f(x)=\large\frac{1}{\sqrt {|x|-x}}$ = ?
jeemain
math
class12
ch1
relations-and-functions
types of functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{x}{x+1},$ $g(x)=\large\frac{x}{1-x}$ and $h(x)=\sqrt [3] {x},$ then $(fogoh)^{-1}(8)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $g(f(x))=|sinx|$ and $f(g(x))=(sin\sqrt x)^2$ then find $ f(x)\:\: and\:\: g(x)$
jeemain
math
class12
ch1
relations-and-functions
composition of functions
medium
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
Which of the following is not a function in R, the set of real numbers ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3\}$ and $B=\{2,3,4,9\}$, then which of the following is a function $f:A \;\rightarrow \;B$ ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{4^x}{4^x+2}$ then which among the following is correct ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $log_2(log_3(log_4(log_5x)))=0$ then x= ?
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
Which of the given functions is an odd function ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\cos \log x$ then $f(x).f(y)-\large\frac{1}{2}$$\bigg(f(\large\frac{x}{y}$)$+f(xy)\bigg)= ?$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
Range of $f(x)=\large\frac{|x|}{x}$ is ?
jeemain
math
class11
ch2
relations-and-functions
function
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
Domain of $y=log(1+x)$ is ?
jeemain
math
class11
ch2
relations-and-functions
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$, then $gof$ = ?
jeemain
math
class11
ch2
relations-and-functions
easy
asked
May 15, 2013
by
rvidyagovindarajan_1
1
answer
$f:N\rightarrow Z$ is a function defined as $f(n)=\left\{ \begin {array} {1 1} \large\frac{n-1}{2}, \:\:when\:\: n\:\: is\:\: odd \\ -\large \frac{n}{2},\:\:when\:\: n\:\: is\:\: even \\ \end{array} \right.$, then $f$ is
jeemain
math
class12
ch1
relations-and-functions
easy
asked
May 13, 2013
by
rvidyagovindarajan_1
1
answer
If $g(x)=1+x-[x]$ where $[x]$ is greatest integer $x$ and $f(x)=\left\{\begin{array}{111}-1,\:\:\:\:x<0\\0,\:\:\:\:\:x=0\\1,\:\:\:\:\:x>0\end{array}\right.$ then $fog(x)=?$
jeemain
math
class12
ch1
relations-and-functions
difficult
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=x^2\:\:and\:\:g(x)=2^x$ and $fog(x)=gof(x)$ then $x$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
easy
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{1}{1-x}$ is a function defined in $R-\{1\}$ then $\;fofof(x)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If $*$ is a binary operation defined as $a*b=3a-b$, then $(2*3)*4=$ ?
jeemain
math
class12
ch1
relations-and-functions
binary-operation
easy
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If * is a binary operation defined by a*b=$\frac{ab}{100}$ in $Q^+$ then the inverse element of 0.1 is:
jeemain
math
class12
ch1
relations-and-functions
binary-operations
easy
asked
May 12, 2013
by
rvidyagovindarajan_1
1
answer
If $[2x-3]=5$, what are the values of $x$ where $[.]$ is greatest integer function
jeemain
math
class11
ch2
relations-and-functions
function
medium
asked
May 8, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$, then $f(x)+f(y)$ = ?
jeemain
math
class11
ch2
relations-and-functions
function
difficult
asked
May 8, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=x^2$ $g(x)=sinx$, $\forall x\in R$, then the set of all $x$ satisfying $fogogof(x)=gogof(x)$ is
jeemain
math
class12
ch1
relations-and-functions
composition-of-functions
medium
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)$ is a real valued function satisfying $f(x+1)+f(x-1)=2f(x)$ $\forall x\in R$ and $f(0)=0$, then for any $n\in N,\:f(n)$ = ?
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow R$ is a function defined as $f(2x+3)+f(2x+7)=2$ $\forall x\in R$ then the period of $f(x)$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 7, 2013
by
rvidyagovindarajan_1
1
answer
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