Question

Find any domain restrictions on the given rational equation

Answer 1

Answer:

A:x=3

B:x=-4

Step-by-step explanation:

The domain is set of all values of x for which the given rational function is defined.

The rational equation is

$\frac{50}{4x - 12} + \frac{x - 4}{ {x}^{2} + x - 12 } = \frac{x}{2}$

The rational function will not be defined if the denominator is zero.

That is if:

1.

$4x - 12 = 0 \implies 4x = 12\implies \: x = 3$

2.

${x}^{2} + x - 12 = 0\implies (x - 3)(x + 4)$

This implies that x=3 or x =-4

Therefore the equation is defined on all real values of x, except x=3 or-4