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Recent questions tagged relations-and-functions

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

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:

asked Apr 6, 2014 by balaji.thirumalai

0 answers

Let $(f:R \to R)$ be defined as $(f(x)=2x+3.)$Find the function $(g(x):R \to R)$ such that $(g\;o\;f = f\;o\;g = I_R.)$

asked Jan 29, 2014 by balaji

1 answer

The identity element of the binary operation $\large $ defined on $Q-\{0\}$ as $a\large $ $b=\large\frac{ab}{2},$ $ \forall \:a,b\:\in\:Q-\{0\}$

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

If a relation $R$ on the set $\{1,2,3\}$ is defined as $R=\{(1,2)\}$, then $R$ is

asked May 31, 2013 by rvidyagovindarajan_1

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 $fof(x)=?$

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 ?

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

The maximum number of equivalence relations on the set $A=\{1,2,3\}$ is?

asked May 31, 2013 by rvidyagovindarajan_1

1 answer

Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

Which of the following pairs of functions are equal ?

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is such that $f(x+y)=f(x).f(y)$, then $f(0)$ = ?

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If function $f(x)$ is given by
$\small\left|\begin {array} {c,c,c} -cos(x+x^2) & -sin(x+x^2) & cos(x+x^2)\\sin(x^2-x) & -cos(x^2-x) & sin(x^2-x)\\sin2x &0 &sin2x^2 \end {array}\right|$, then find $f(0)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $2^x+2^{f(x)}=2$, then find the domain of $f(x)$

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 $f(4)$

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))= ?$

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

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