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

2 Answers
Narad T.
Nov 25, 2017

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]}

Jim G.
Nov 25, 2017

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

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