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Recent questions tagged composition

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

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

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

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

asked May 7, 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

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