Relations and F...

The solution of $$8x\equiv 6(mod \  14) $$ is

If $$f(x)=\dfrac{e^{x}+e^{-x}}{2}$$, then the inverse of $$f(x)$$ is

If $$f(x)=(1-x)^{1/2}$$ and $$g(x)= \ln(x)$$  then  the  domain  of $$(gof)(x)$$ is

If $$f:R^{+}\rightarrow R$$ such that $$f(x)=\log_{5} x$$ then $$f^{-1}(x)=$$

If $$f(x)=\dfrac{x+1}{x-1}(x\neq 1)$$ then $$fofofof(x)=$$

If $$f:[1,\infty )\rightarrow B$$  defined  by the function $$ f(x)=x^{2}-2x+6$$ is a surjection, then $$B$$ is equals to

If $$f:R\rightarrow R^{+}$$ then $$\displaystyle f(x)=\left(\dfrac{1}{3}\right)^{x}$$, then $$f^{-1}(x)=$$

If $$ X =\{1, 2,3,4,5\} $$ and $$Y =\{1,3,5,7,9\}$$, determine which of the following sets represent a relation and also a mapping?

If A $$=$${$$x : x^{2}-3x+2= 0$$}, and $$R$$ is a universal relation on $$A$$, then $$R$$ is

If $$f(x)=2+x^{3}$$, then $$f^{-1}(x)$$ is equal to