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Recent questions tagged composition of functions

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 $g(x)=x^2+x-2\:\:and\:\:\large\frac{1}{2}$$gof(x)=2x^2-5x+2$ then $ f(x)= ?$

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\left\{\begin{array}{c,c} |x| &x \leq 1 \\2-x &x>1\end{array}\right.$, then $fof(x)=?$

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$, then find $f^{-1}(A)$

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $f:[1,\infty )\rightarrow\:[2,\infty)$ is defined as $f(x)=x+\large\frac{1}{x}$ then find $f^{-1}(x)$.

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f:A\rightarrow B$ is defined as $f(x)=x^2-x+1$ so that $f(x)=f^{-1}(x)$ then the solution set of $x$ is ?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f(x)=x^2-x+1$ so that $f(x)=f^{-1}x$ then the solution set of $x$ is ?

asked May 27, 2013 by rvidyagovindarajan_1

0 answers

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

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

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

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