Functions Test ...

If $$f(n+1)=f(n)$$ for all $$n\in N, f(7)=5$$  then  $$f(35)=$$

If $$f(x)=\displaystyle \dfrac{x}{\sqrt{1-x^{2}}},g(x)=\displaystyle \dfrac{x}{\sqrt{1+x^{2}}} $$, then $$(fog)(x)=$$       

The domain of $$f(x)= \displaystyle \frac{1}{\sqrt{(x-2)(7-x)}} is$$

If the function is $$f:R\rightarrow R,  g:R\rightarrow R$$ are defined as $$f(x)=2x+3, g(x)=x^{2}+7$$  and  $$f[g(x)]=25$$  then  $$x=$$    

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

Let $$Z$$ be the set of integers and $$f:Z\rightarrow Z$$ is a bijective function then 

If $$F(n)=(-1)^{k-1}(n-1), G(n)=n-F(n)$$ then $$ (GoG)(n)=$$ (where $$k$$ is odd)

If $$f(x)=\dfrac{x}{\sqrt{1-x^{2}}}$$, then $$ (fof)(x)=$$

If $$f:R\rightarrow R$$ is defined by $$f(x)=x^{2}-10x+21 $$ then $$ f^{-1}(-3)$$ is

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