Functions Test ...

$$f(x)\, =\, \sqrt{\log_{x}(\cos2 \pi x)}$$ Domain of the function is :

If f(x)=x+5 and g(x)=$$\displaystyle \sqrt{x^{2}-9}$$  then find the domain of gof(x)

The set of real values of $$x$$ satisfying the equality $$\left [\displaystyle \frac{3}{x}\, \right]\, +\, \left[\dfrac{4}{x}\, \right]\, =\, 5$$ (where $$[. ]$$ denotes the greatest integer function) belongs to the interval $$\left( a,\, \displaystyle \frac{b}{c}\, \right]$$ where $$a, b, c$$ $$\in$$ $$N$$ and $$\displaystyle \frac{b}{c}$$ is in its lowest form. Find the value of $$a + b + c + abc$$.

Find $$g(x)$$, if $$f(x) = 5x^{2} + 4$$ and $$f(g(3)) = 84$$

If $$h(x) = x^2, g(x)= x^2 -3$$ and f(x)= x -2, what can you say about ho(gof) and (hog)of?

Which of the following functions are not identical?

The function $$f(x)={x}^{2}+bx+c$$, where $$b$$ and $$c$$ real constants, describes

If f(x)=x+2and $$g(x)=x^2-3$$, then which is true?

If $$f(x) = 4x^{2} - 1$$ and $$g(x) = 8x + 7, g\circ f(2) =$$