math problem?

Posted on 2014-12-09 07:16:00 in Math by LARRY

Consider the rational function:
R(x) = N(x)/D(x) = ((a + 4)x^2 + 6x ? 1)/(x + 3)
where a represents some real number.

(a) Find the domain of the function R(x).

(b) Find all values of a such that the quadratic equation N(x) = 0 has a unique solution.

(c) Find all values of a such that the quadratic equation N(x) = 0 has solution x = ?3.

(d) Find all values of a such that the equation ((a + 4)x^2 + 6x ? 1)/(x + 3) has a unique solution. Find this solution.

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