Question

The domain of y = 1/x - 10 is all real numbers except x = 10 TRUE or FALSE?

Answer 1

TRUE

because if we substitute the value of x = 10 to the equation, then we have quotient with divide by zero!

$y=\dfrac{1}{x-10}\to f(x)=\dfrac{1}{x-10}\\\\f(10)=\dfrac{1}{10-10}=\dfrac{1}{0}\ !!!!$