How do you find the domain of #f(x)=(2x)/((x-2)(x+3))#?
The denominatos can't be zero.
The only contraint is :
so the domain is then
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)(x+3)=0#
#rArrx=-3" and " x=2larrcolor(red)" are excluded values"#
#"domain is " x inRR,x!=-3,2#