Question 200689
Find the domain of the rational function
h(x)= x-80 over x to the 3rd - 2x to the 2nd - 35x
.
Domain is all real numbers EXCEPT when 'x' makes the denominator zero.
Find those exceptions by setting the denominator to zero and solving for x:
{{{x^3-2x^2-35x = 0}}}
{{{x(x^2-2x-35) = 0}}}
{{{x(x-7)(x+5) = 0}}}
x = {0, 7, -5}
.
Therefore, the domain is
"All real numbers, except for 0, 7 and -5"