Question

For the function p(x) = (x - 2)/(sqrt(5 - 2x)) find the domain ?

Answer 1

`\begin{gathered} p(x)=\frac{(x-2)}{\sqrt[]{5-2x}} \\ \text{let }\sqrt[]{5-2x}\ge0 \\ 5-2x\ge0 \\ x\ge(5)/(2) \\ \text{and,} \\ x-2=0 \\ x=2 \\ \text{Domain (2,}(5)/(2))U((5)/(2),\infty) \end{gathered}`