If $f$ is the inverse function of $g$ and $g^{\prime}(x)=\frac{1}{1+x^n}$,then the value of $f^{\prime}(x)$ is

If $f(x) = \frac{2x - 3}{3x - 4}$,$x \neq \frac{4}{3}$,then the value of $f^{-1}(x)$ is

Let the function $f$ be defined by $f(x) = \frac{2x + 1}{1 - 3x}$,then $f^{-1}(x)$ is

Let $f(x) > 0$ for all $x$ and $f^{\prime}(x)$ exists for all $x$. If $f$ is the inverse function of $h$ and $h^{\prime}(x) = \frac{1}{1 + \log x}$,then $f^{\prime}(x)$ will be

If $f:[1, \infty) \rightarrow [0, \infty)$ is given by $f(x) = x - \frac{1}{x}$,then $f^{-1}(x) =$

Let $f$ and $g$ be two differentiable functions satisfying $g^{\prime}(5)=\frac{3}{4}$,$g(5)=6$ and $g=f^{-1}$. Then $f^{\prime}(6)$ is equal to