# How do you find the domain and range of g(x)=sqrtx+7?

May 19, 2017

Domain: $x \ge 0 \mathmr{and} \left[0 , \infty\right)$ . Range : $g \left(x\right) \ge 7 \mathmr{and} \left[7 , \infty\right)$
$g \left(x\right) = \sqrt{x} + 7$. Domain: under root should be $\ge 0 \therefore x \ge 0$
Range : $g \left(x\right) \ge 7$
Domain: $x \ge 0 \mathmr{and} \left[0 , \infty\right)$ . Range : $g \left(x\right) \ge 7 \mathmr{and} \left[7 , \infty\right)$ graph{x^0.5 +7 [-40, 40, -20, 20]} [Ans]