How do you find the domain of # f(x)= (x-2) /( x+3)#?

2 Answers
Nov 25, 2017

Answer:

The domain of #f(x)# is #RR-{-3}#

Explanation:

As you cannot divide by #0#, the denominator must be #!=0#

Therefore,

#x+3!=0#

#x!=-3#

The domain of #f(x)# is #RR-{-3}#

graph{(x-2)/(x+3) [-10, 10, -5, 5]}

Nov 25, 2017

Answer:

#x inRR,x!=-3#

Explanation:

#"the denominator of f(x) cannot be zero as this"#
#"would make f(x) undefined"#

#"equating the denominator to zero and solving"#
#"gives the value that x cannot be"#

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

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