If $f:[0,1] \rightarrow[0,1]$ be defined by $f(x)=\left\{\begin{array}{cc}x, & \text { if } x \text { is rational } \\ 1-x, & \text { if } x \text { is irrational }\end{array}\right.$ then $(f \circ f) x$ is

If $f:[2, \infty) \rightarrow R$ be the function defined by $f(x)=x^2-4 x+5$, then the range of $f$ is

If $f: N \rightarrow R$ be the function defined by $f(x)=\frac{2 x-1}{2}$ and $g: Q \rightarrow R$ be another function defined by $g(x)=x+2$. Then, $(g \circ f) \frac{3}{2}$ is

If $f: R \rightarrow R$ be defined by $f(x)=\left\{\begin{array}{l}2 x: x>3 \\ x^2: 1< x \leq 3 \\ 3 x: x \leq 1\end{array}\right.$ Then, $f(-1)+f(2)+f(4)$ is

If $f: R \rightarrow R$ be given by $f(x)=\tan x$, then $f^{-1}(1)$ is