# How do you find the restrictions and simplify #(3x-2)/(x+3)+7/(x^2-x-12)#?

##### 1 Answer

Let's first find the restrictions:

This can be done by factoring the denominator of the expression.

A restriction in a rational expression occurs when the denominator equals 0, since division by 0 in mathematics is undefined.

Therefore, we must now set the factors in the denominator to 0 and solve for x. These will be our restrictions.

Therefore,

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Now, let's simplify:

This can be done by placing everything on a common denominator.

Since both expressions already has

The trinomial in the numerator is factorable. Always factor it when possible to see if anything can be simplified. **You will be docked marks if you don't simplify fully**. I factored this one and nothing needs to be eliminated. This is in simplest form.

Hopefully this helps!