Functions Test ...

Let $$f(x) =\frac {ax+b} {cx+d}$$. Then fof(x) = x provided that.

If $$f(x) =\dfrac {1}{1-x}, x \neq 0, 1$$ then the graph of the function $$y = f[f\{f(x)\}]$$ for $$x > 1 $$  is

The domain of the function f (x) = $$\displaystyle \frac{1}{\sqrt{x-3}}$$ is given by :

Let $$\displaystyle f\left ( x \right )=\frac{3}{2}+\sqrt{x-\frac{3}{4}}$$ be a function and $$g\left ( x \right )$$ be another function such that $$g\left ( f\left ( x \right ) \right )=x,$$ then the value of $$g\left ( 20 \right )$$ will be

Let $$f : R \rightarrow  R, g : R \rightarrow R$$ be two function such that
$$f(x) = 2x-  3, g(x) = x^3 + 5$$
The function $$(fog)^{1}(x)$$ is equal to.

Number of integers in the domain of the function $$f\left ( x \right )=\log _{\left ( 6-x \right )}\left ( 7x-x^{2} \right )$$ is

The domain of the function f(x)=$$\displaystyle \frac{\sqrt{-\log_{0.3}(x-1)}} {\sqrt{-x^2+2x+8}}$$ is

If $$f(x) = -x^2+1, g(x) = -\sqrt[3]{x}$$ then (gofogofogogog) (x) is.

The domain of the function $$f(x)=\sqrt {1-{\sqrt{1-\sqrt{1-x^2}}}}$$ is .

If f(x)=2x-1 and g(x)=3x+2  then find (fog) (x)