Practice Questions 3 – Relations and Functions – Class XI

If \(f\) and \(g\) be two function given by \(f = \{ (1,2),(2,3),(3,4),(4,5)\} \)
\(g = \{ (1,0),(2,1),( – 3, – 4),(4, – 5)\} \) then domain of \(f.g\) is given by

Range of the function \(f(x) = 9 – \left| {x – 7} \right|\) is

If \(A = \{ 1,2,3\} ,\) then \(A \times A \times A\) has ______number of elements.

The domain of the function \(f(x) = \sqrt {9 – x} + \frac{1}{{\sqrt {{x^2} – 9} }}\) is equal to

If \(f:R \to R\) and defined by \(f(x) = \frac{1}{{2 – \cos 3x}},\gamma x \in R,\) then range of \(f\) is