How do you find the domain of #f(x) = (3x^2)/(x^2-49)#?

1 Answer
May 2, 2017

Answer:

#"domain " x inRR,x!=+-7#

Explanation:

The denominator of f(x) cannot be zero as this would make f(x) #color(blue)"undefined".#Equating the denominator to zero and solving gives the values that x cannot be.

#"solve " x^2-49=0rArr(x-7)(x+7)=0#

#rArrx=-7" and " x=7larrcolor(red)" are excluded values"#

#"domain " x inRR,x!=+-7#