Find the domain of the following rational function.

R(x) = -3x^2 / x^2 + 2x - 48

(x+8)(x-6)

So the domain is x cannot be 8 or -6. Am I correct?

1 answer

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you factored the bottom correctly to
(x+8)(x-6)

now each of those can't be zero
x+8 ≠ 0
x ≠ -8

likewise x ≠ 6

notice the sign inside the bracket changed as you set them equal to x