Question

Need help on this math question

Answer 1

The domain is all real numbers except 3.

This is an example of a rational function, and it is defined for all real numbers except those that make the denominator equal to 0. (Division by zero is undefined.)

The denominator is x - 3, so you want to AVOID x - 3 = 0 which means avoid x = 3.

Answer 2

$f(x)=\dfrac{7x}{x-3}\\\\The\ domain:\\x-3\neq0\ \ \ \ |+3\\\\x\neq3$

Answer: All real numbers except 3