How do you find the domain of #g(x) = (5x) /( x^2 - 7x + 12)#?

1 Answer
Jun 21, 2018

Answer:

#x inRR,x!=3,4#

Explanation:

The denominator if 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^2-7x+12=0rArr(x-3)(x-4)=0#

#x=3,x=4larrcolor(red)"excluded values"#

#"domain is "x inRR,x!=3,4#
graph{(5x)/(x^2-7x+12 [-20, 20, -10, 10]}