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  • 23-11-2016
  • Mathematics
contestada

Find the discontinuities of f(x) = 2x^2 + 5x - 12/ x+4

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apologiabiology
apologiabiology apologiabiology
  • 25-11-2016
factor top

2x^2+5x-12=(x+4)(2x-3)

we now have
f(x)=[(x+4)(2x-3)]/(x+4)
therefor, we factor out (x+4) to get
f(x)=2x-3
a line

remember that (x+4) we  factore dout
that means
x+4=0
x=-4
at x=-4, there is a hole
to find the y value, input into simplified funciton
y=2x-3
y=2(-4)-3
y=-8-3
y=-11

(-4,-11) is a hole


so the discontinuity is that there is a hole at (-4,-11)
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