Question 515735
Assuming your equation is:
{{{ g(x) = 7/(5-7x) }}}
.
A value for x that results in the denominator = 0 cannot be allowed.
Division by 0 is undefined.
.
5-7x = 0 is not allowed
5 = 7x
7x = 5
x = 5/7 is not allowed
.
So x can take on values (-infinity,5/7) and (5/7, +infinity).
.
{{{ graph(500,500,-5,5,-5,5, 7/(5-7*x) ) }}}