g(x)=___4___
4-5x

what is the correct domain?xdoes not equal 4/5,x does not equal zero,is a real number and x≥4/5 or x does not equal 4?

Question

g(x)=___4___
                                  4-5x

what is the correct domain?xdoes not equal 4/5,x does not equal zero,is a real number and x≥4/5 or x does not equal 4?

jim_thompson5910 · Answer

the denominator 4-5x can't be zero


if it were, then 


4-5x=0


-5x=-4


x=-4/(-5)


x=4/5



So if x=4/5, then the denominator is zero (which results in a division by zero error)


So the domain is the set of all real numbers but x cannot equal 4/5

anonymous · Answer

awesome answer!Your a true math genious!