Question

f(x)=x+5
g(x)=\sqrt 3x+1



find f/g and f-g then give their domains using interval notation ​

Answer 1

$\frac{f(x)}{g(x)} = \frac{x + 5}{ \sqrt{3x + 1} }$

$x ∈ \: \: ] \frac{ - 1}{3} ,∞[$

$f(x) - g(x) = x + 5 - \sqrt{3x + 1}$

$x ∈ \: \: [ \frac{ - 1}{3} ,∞[$