Homework Help: Math(Please check)

Posted by Hannah on Thursday, November 4, 2010 at 3:12pm.

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?

Math(Please check) - Reiny, Thursday, November 4, 2010 at 4:38pm
close ...

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

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