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!