Relations and F...

If $$f(x) = 3x - 5$$, then $$f^{-1}\, (x) $$

If $$f(x)=\sqrt [ n ]{ a-{ x }^{ n } } ,x>0,n\geq 2,n\in N$$, then find the inverse of $$f(x)$$.

If $$g(x) = 2x + 1$$ and $$h(x) = 4x^{2} + 4x + 7$$, find a function $$f$$ such that $$f o g = h$$

Which of the following are two distinct linear functions which map the interval $$[-1, 1]$$ onto $$[0, 2]$$

A function $$f : \left[ \displaystyle \frac{1}{2}, \infty \right) \rightarrow \left[ \displaystyle \frac{3}{4}, \infty \right)$$ defined as, $$f(x) = x^{2} - x + 1$$. 

$$f(x)\, >\, x;\, \forall\, x\, \epsilon\, R.$$ The equation $$f (f(x)) -x = 0$$ has

If $$ f : R \rightarrow R, f(x) = (x + 1)^2$$ and $$g : R \rightarrow  R, g(x) = x^2 + 1 $$ then $$(fog)(3)$$ is equal to

If $$f(x) = \sqrt{| x-1|}$$ and $$g(x) = \sin x$$, then $$(fog) (x)$$ equals

If $$f(x) = \log x$$, $$g(x) = x^3$$, then $$f[g(a)] + f[g(b)]$$ equals

 from the given statement $$N$$ denotes the natural number and $$W$$ denotes the whole number, so which statement in the following is correct