The domain of the function $f(x) = \sqrt{x - 1} + \sqrt{6 - x}$ is...

The domain of the function $f(x) = {}^{(10-x)}C_{(x-6)}$ is...

If $g(x) = 1 - \sqrt{x}$ and $f(g(x)) = 5 + 4\sqrt{x} + x$, then the value of $f(6)$ is...

If $f(x) = x^2$ and $g(x) = [x^2]$ where $[\cdot]$ represents the greatest integer function then, $(f \circ g)\left(\dfrac{3}{2}\right) + (g \circ f)\left(\dfrac{3}{2}\right)$ is equal to ...