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What is the discontinuity and zero of the function fx the quantity of 2 x squared plus 5 x minus 12 all over x plus 4?
Wiki User
∙ 9y ago
f(x) = (2x^2 + 5x - 12)/(x + 4)
as given, is not defined when the denominator is 0 ie when x + 4 = 0 or x = -4.
However, 2x^2 + 5x - 12 = (x + 4)*(2x - 3) so that the function can be simplified to (x + 4)*(2x - 3)/(x + 4) = 2x - 3
This has a zero when 2x - 3 = 0 ie 2x = 3 or x = 1.5
Wiki User
∙ 9y ago
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