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liubo4ka [24]
3 years ago
13

Find any domain restrictions on the given rational equation

Mathematics
1 answer:
jonny [76]3 years ago
3 0

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

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