List of top Mathematics Questions on Functions asked in TS EAMCET

If \(A\) and \(B\) are the domain and range of the real valued function, \[ f(x)=\dfrac{|x|}{\sqrt{1-|x|}} \] then \(A \cup B =\ ?\) 

If a real valued function \(f:A\rightarrow B\) defined by \[ f(x)=\sin^{-1}\!\left(\sqrt{x^{2}-4x+5}\right) \] is a bijection, then \(A\cup B=\)
If the domain and the range of the real valued function \[ f(x)=\frac{1}{\sqrt{|x|-[x]}} \] are A and B, then \(A\cap B=\) (\(R^{+}\) is set of positive real numbers and \(Z^{+}\) is set of positive integers)
If \( g \circ f \) is a bijective function, then:
The domain of the real-valued function $$ f(x) = \sin^{-1} \left( \log_2 \left( \frac{x^2}{2} \right) \right) $$ is:
The range of the real valued function \( f(x) = \log_3 (5 + 4x - x^2) \) is
The sum of the maximum and minimum values of the function \[ f(x) = \frac{x^2 - x + 1}{x^2 + x + 1} \] is: