# What is the domain and range of f(x)=sqrt(x-9)+4?

Dec 7, 2016

Domain : $x \ge 9$.
Range : $f \left(x\right) \ge 4$
Domain (value of x) : $x - 9 \ge 0 \mathmr{and} x \ge 9$. Since value under root can not be a negative number.
Range (value of f(x)) : $f \left(x\right) \ge 0 + 4 \mathmr{and} f \left(x\right) \ge 4$ [Ans]