Question

Determine domain $\frac{1}{x+\left|x\right|}$.
Find the domain?

• A. $x>0$
• B. $x<0$
• C. $x>=0$
• D. $x<=0$

Answer 1

The correct option is A $x>0$

Above is not defined when $x+\left|x\right|=0$
or $\left|x\right|=-x$ i. e. $x$ is -ive.
$\therefore$ The function is defined when$x>0i.e.x\in (0,\infty ).$