Let , and . Define p(x)= f(x) g(x) +h(x). Determine the domain of…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

f(x)=\sqrt{2x-1}

g(x)=x^{2}-9

and

h(x)=\dfrac{1}{x-1}

. Define

p(x)=\frac{f(x)}{g(x)}+h(x).

Determine the domain of

p(x)