How do you find the domain of f(x) = (x+7)/(x^2-4)f(x)=x+7x2−4?
1 Answer
May 8, 2018
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 values that x cannot be.
"solve "x^2-4=0rArrx^2=4solve x2−4=0⇒x2=4
rArrx=-2,x=2larrcolor(red)"excluded values"⇒x=−2,x=2←excluded values
rArr"domain "(-oo,-2)uu(-2,2)uu(2,oo)⇒domain (−∞,−2)∪(−2,2)∪(2,∞)
graph{(x+7)/(x^2-4) [-10, 10, -5, 5]}
