Recent questions in Mathematics

If $A=\{-1,0,1\}$ and $f:A\rightarrow A$ is defined as $f(x)=x^2$ , then what type of function is $f$ ?

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is defined as $f(x)=x^2+1$ then $f^{-1}(x)$ = ?

asked May 24, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is defined as $f(x)=3x-5$ , then $f^{-1}(x)$ = ?

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.

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

Domain of $f(x)=\large\frac{1}{\sqrt {|x|-x}}$ = ?

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 $(fogoh)^{-1}(8)= ?$

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $g(f(x))=|sinx|$ and $f(g(x))=(sin\sqrt x)^2$ then find $f(x)\:\: and\:\: g(x)$

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

Which of the following is not a function in R, the set of real numbers ?

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 $f:A \;\rightarrow \;B$ ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

$A\cap (A\cap B)'$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq 4\}$ and $B=\{x:x\in R\:and\:x< 5\}$ , then $A\cap B$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,3,5,B\}$ and $B=\{2,4\}$ , then which of the following is true ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

$A\cap (A\cup B)$ = ?

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 ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $log_2(log_3(log_4(log_5x)))=0$ then x= ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

Which of the given functions is an odd function ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

If $S_1=\{1,2,...................20\}$ , $S_2=\{a,b,c,d,e\}$ , $S_3=\{a,c,e,f\}$ , then no. of elements of $(S_1\times S_2)\cap (S_1\times S_3)$ is ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\cos \log x$ then $f(x).f(y)-\large\frac{1}{2}$ $\bigg(f(\large\frac{x}{y}$ ) $+f(xy)\bigg)= ?$

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

The set that cannot be represented by roster form is:

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

How is Null set represented in set builder form ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cap B=B$ then what can you say about $A$ and $B$ ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cup B=A,\:\:$ then what can you say about $A$ and $B$ ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Range of $f(x)=\large\frac{|x|}{x}$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Domain of $y=log(1+x)$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]'$ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

How many proper subsets are there for a set having 5 elements ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $V=\{x:\:x+2=0\}$ , $\:R=\{x:\:x^2+2x=0\}$ and $\:\:S=\{x:\:x^2+x-2=0\}$ , then for what value of $x$ , $V=R=S$ ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$ , then $gof$ = ?

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

asked May 13, 2013 by rvidyagovindarajan_1

1 answer

If $M$ is the set of all $2\times 2$ matrices with real entries and $f :M\rightarrow R$ is defined as $f(A)=|A| \:\forall\:A\in M$ , then $f$ is

asked May 12, 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 $fog(x)=?$

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 $x$ = ?

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 $\;fofof(x)$ = ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $$ is a binary operation defined as $ab=3a-b$ , then $(23)4=$ ?

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:

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $[2x-3]=5$ , what are the values of $x$ where $[.]$ is greatest integer function

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$ , then $f(x)+f(y)$ = ?

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

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 $n\in N,\:f(n)$ = ?

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

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

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

The domain of $y=sin^{-1}(1+3x+2x^2)$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$ , then what can you say about $A\:and\:B$ ?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow S$ defined by $\:f(x)=\sin x-\sqrt3\; \cos x+1\;$ is onto function then $S$ = ?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

If $f$ is a real values function satisfying $f(x+y)=f(x)\;f(y)$ and $f(1)=a$ where $x,y\in R$ , then $f(x)$ =

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

The value of $\alpha$ for which the function $f(x)=1+\alpha x,\:\:\alpha\neq 0$ is the inverse of itself is:

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is

asked May 2, 2013 by rvidyagovindarajan_1

2 answers

What is the inverse of the function $f(x)=\large\frac{e^x-e^{-x}}{e^x+e^{-x}}$

asked May 2, 2013 by rvidyagovindarajan_1

1 answer

What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

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