Assertion (A) $\operatorname{coth} x=\frac{1-k}{1+k}(0 < k < 2)$.

Reason (R) The graph of $y=\tanh x$ always lies between the lines $y=-1$ and $y=1$

The correct option among the following is

The domain of the real valued function $f(x)=\sqrt{\frac{2 x^2-7 x+5}{3 x^2-5 x-2}}$ is

The range of the real valued function $f(x)=|x-2|+|x-3|$ is

Let $f: A \rightarrow B$ be defined as $f(x)=\frac{1}{2}-\tan \left(\frac{\pi x}{2}\right)$ and $g: B \rightarrow C$ be defined as $g(x)=\sqrt{3+4 x-4 x^2}$. If $A, B$ and $C$ are subsets of $R$ and $f$ is an onto function, then the range of the function $f(x)$ is