Question

1. find the domains of f(x) =

√x+7 3

______  and g(x) =   _______ 

 x+4   |x| + 2

 

            

                 

          

 

Answer 1

$$f(x)=\dfrac{\sqrt{x+7}}{3}$$

$$x+7\geq0=>x\geq-7$$

$Domain: [-7,\infin)$

$$g(x)=\dfrac{x+4}{|x|+2}$$

$$|x|\not=-2=>x\in \R$$

$Domain: (-\infin,\infin)$