If $f$ is an exponential function and $g$ is a logarithmic function,then $fog(1)$ will be

If $f$ and $g$ are increasing and decreasing functions respectively from $[0, \infty)$ to $[0, \infty)$,and $h(x) = f(g(x))$ with $h(0) = 0$,then $h(x) - h(1)$ is:

$f(x) = (20 - x^4)^{1/4}$ for $0 < x < \sqrt{5}$,then $f(f(1/2))$ is equal to

If $f(x)=2^{100} x+1$ and $g(x)=3^{100} x+1$,then the set of real numbers $x$ such that $f(g(x))=x$ is

Let $f: R \rightarrow R$ be defined by $f(x)=3 x^2-5$ and $g: R \rightarrow R$ by $g(x)=\frac{x}{x^2+1}$,then $g \circ f$ is

The graph of $y = f(x)$ is shown. The number of solutions of the equation $f(f(x)) = 2$ is: