Functions Test ...

If f(x) = x + 4, g(x) = 5x and h(x) = 12/x. find the value of $$f^{ -1 }$$ (g(h(6))).

Let $$f(x)=x+\cos x+2$$ and g(x) be the  inverse function of f(x) then $$g^1(3)=$$

Let D = [-1, 1] is the domain of the following functions, state which of them are injective

If =$$f=\left\{ (-2,4),(0,6),(2,8) \right\} $$ and 
$$g=\left\{ (-2,-1),(0,3),(2,5) \right\} $$, then 
$$\left( \frac { 2f }{ 3g } +\frac { 3g }{ 2f }  \right) (0)=\quad $$

Domain of $$\frac{3^{x}}{x+1}$$ is

The domain of $$cos h^{-1}5x$$ is

If $$f(x)=\frac{1}{x},g(x)=\frac{1}{x^{2}} $$ and h $$(x)= x^{2},$$ then

Number of solution of the equation  $$f ( x ) = g ( x )$$  are same as number of point of intersection of the curves $$y = f ( x )$$  and  $$y = g ( x )$$  hence answer the following question.
Number of the solution of the equation  $$x ^ { 2 } = | x - 2 | + | x + 2 | - 1$$  is

$$f: ( 0,\infty )\rightarrow [0,\infty )$$  defined by $$f(x)=x^{2}$$  is 

The domain of the function  $$f ( x ) = \sin ^ { - 1 } \left( \left( 1 + e ^ { x } \right) ^ { - 1 } \right)$$  is