Functions Test ...

If $$ f : R \rightarrow R, f(x) = (x + 1)^2$$ and $$g : R \rightarrow  R, g(x) = x^2 + 1 $$ then $$(fog)(3)$$ is equal to

If $$f(x) = \sqrt{| x-1|}$$ and $$g(x) = \sin x$$, then $$(fog) (x)$$ equals

If $$f(x) = \log x$$, $$g(x) = x^3$$, then $$f[g(a)] + f[g(b)]$$ equals

Suppose f and g both are linear function with $$\displaystyle f(x)=-2x+1$$  and $$\displaystyle f \left ( g\left ( x \right ) \right )=6x-7$$ then slope of line $$y=g(x)$$ is

If $$f(x) = x^3 $$ and $$g(x) = sin2x$$, then

If $$f(x) = (a x^n)^{1/n},$$ where $$\ n \in N$$, then $$f\{f(x)\}$$ equals

If $$f(x) =\ln {\displaystyle \frac { 1+x }{ 1-x }  } $$ and $$g(x)=\displaystyle \frac {3x+x^3}{1+3x^2}$$, then $$f[g(x)]$$ equals.

Let $$f(x) = e^{3x}, g(x) = \log_ex, x > 0$$, then $$fog (x)$$ is

$$f(x)\, >\, x;\, \forall\, x\, \epsilon\, R.$$ The equation $$f (f(x)) -x = 0$$ has

The domain of the function,  $$\displaystyle y=f(x)=\sqrt {\log_{10} \left ( \frac {5x-x^2}{4} \right )}$$ is