Recent questions tagged 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

The range of the function $f(x) = \large\frac{x^2+x+2}{x^2+x+1}$, $x \in (-\infty, \infty)$ is:

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 $fof(x)=?$

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

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

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

What is range of $f(x)=^{7-x}P_{x-3}$

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 ?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?

asked May 25, 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

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

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 $f(x)=\cos \log x$ 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

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

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

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 domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

The range of $f (x)=\large\frac{1+x^2}{x^2}$ is

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

asked Apr 28, 2013 by rvidyagovindarajan_1

1 answer

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