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Recent questions tagged functions
Questions
If $f_k(x) = \large\frac{1}{k}$$(\sin^k x + \cos^k x)$, where $x\in R$ and $k \geq 1$. The $f_4(x) - f_6(x)$ equals
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
jeemain-2014
q44
medium
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
If $a\in R$ and the equation $-3 (x-[x])^2 + 2(x-[x])+a^2 = 0$, (where $[x]$ denotes the greatest integer $\leq x$) has no integral solution, then all possible values lie in the interval:
jeemain
math
class12
ch1
relations-and-functions
jeemain-2014
types
of
functions
q33
medium
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
The range of the function $f(x) = \large\frac{x^2+x+2}{x^2+x+1}$, $x \in (-\infty, \infty)$ is:
jeemain
math
ch2
relations and functions
functions
difficult
q187
asked
Jan 6, 2014
by
sreemathi.v
1
answer
If $f:[0,1]\rightarrow\:[0,1]$ is defined as $f(x)=\left \{\begin {array}{c,c}x &if\:x\:is\:rational\\1-x & if\:x\:is\:irrational\end {array}\right.$ then $fof(x)=?$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
easy
asked
May 31, 2013
by
rvidyagovindarajan_1
1
answer
The number of bijection mappings that are possible from $Set \:A$ containing 5 elements to $Set\:B$ containing 6 elements is ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 31, 2013
by
rvidyagovindarajan_1
1
answer
Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
medium
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $2^x+2^{f(x)}=2$, then find the domain of $f(x)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x) $ is polynomial and $f(x).f(\large\frac{1}{x})$$=f(x)+f(\large\frac{1}{x})$ and $f(3)=28 $ then find $f(4)$
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=coslogx$ then $f(x^2).f(y^2)-\large\frac{1}{2}$ $(f(\large\frac{x^2}{y^2})$$+f(x^2y^2))= ?$
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 29, 2013
by
rvidyagovindarajan_1
1
answer
What is range of $f(x)=^{7-x}P_{x-3}$
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 28, 2013
by
rvidyagovindarajan_1
1
answer
If $f:Z\rightarrow Z $ is defined as $f(x)=x^2+ax+b$ then the values of $a$ and $b$ are ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 27, 2013
by
rvidyagovindarajan_1
1
answer
The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?
jeemain
math
class11
ch2
relations-and-functions
functions
medium
asked
May 25, 2013
by
rvidyagovindarajan_1
1
answer
Which of the following is not a function in R, the set of real numbers ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3\}$ and $B=\{2,3,4,9\}$, then which of the following is a function $f:A \;\rightarrow \;B$ ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
$A\cap (A\cup B)$ = ?
jeemain
math
class11
ch1
sets
operation-on-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\large\frac{4^x}{4^x+2}$ then which among the following is correct ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $log_2(log_3(log_4(log_5x)))=0$ then x= ?
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
Which of the given functions is an odd function ?
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 18, 2013
by
rvidyagovindarajan_1
1
answer
If $f(x)=\cos \log x$ then $f(x).f(y)-\large\frac{1}{2}$$\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
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
The domain of $y=sin^{-1}(1+3x+2x^2)$ is
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
asked
May 7, 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 $S$ = ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
difficult
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:
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
asked
May 4, 2013
by
rvidyagovindarajan_1
1
answer
The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
asked
May 2, 2013
by
rvidyagovindarajan_1
2
answers
What is the inverse of the function $f(x)=\large\frac{e^x-e^{-x}}{e^x+e^{-x}}$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
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
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
Apr 29, 2013
by
rvidyagovindarajan_1
1
answer
The range of $f (x)=\large\frac{1+x^2}{x^2}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
Apr 28, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3,4\}$ and $B=\{1,2\}$, then the number of onto functions from $A$ to $B$ is
jeemain
math
class12
ch1
relations-and-functions
functions
medium
asked
Apr 28, 2013
by
rvidyagovindarajan_1
1
answer
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