Question

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

Answer 1

`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]}