# How do you find the domain of #sqrt(x+4)/(x-3)#?

##### 2 Answers

D: [-4, 3)

#### Explanation:

You would find the domain of the numerator and the domain of the denominator, see if there are any intersections, and then write the answer in interval notation. The numerator is a square root, so whatever is inside must be positive. So, you have

#### Explanation:

#"the denominator of the rational function cannot be"#

#"zero as this would make it "color(blue)"undefined"#

#"Equating the denominator to zero and solving gives the"#

#"value that x cannot be"#

#"solve "x-3=0rArrx=3larrcolor(red)"excluded value"#

#"domain is "x inRR,x!=3#