Question 368408
g(x)= 6/2-5x

To domain of g(x) will be the answer(s) for x that do not make the denominator zero.


To find the domain, set 2 - 5x = 0 and solve for x.


2 - 5x = 0


-5x = -2


x = -2/-5


x = 2/5


DOMAIN = ALL REAL NUMBERS except that x CANNOT be 2/5.



Done!


NOTE:  If x = 2/5 here, it will create a zero in the denominator, which is undefined since there is no such thing as division by zero.