anonymous
  • anonymous
What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@jdoe0001
jdoe0001
  • jdoe0001
ahemm didn't you just do that one?
anonymous
  • anonymous
Whoops hold on

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anonymous
  • anonymous
What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2?
anonymous
  • anonymous
|dw:1436224952239:dw|
anonymous
  • anonymous
is it 6,0
jdoe0001
  • jdoe0001
\(\bf f(x) = \cfrac{x^2-4x-12}{x+2}\to \cfrac{(x-6)\cancel{(x+2)}}{\cancel{(x+2)}} \\ \quad \\ -----------------------\\ \cfrac{x^2-4x-12}{x+2}\qquad {\color{brown}{ x=-2}}\implies \cfrac{x^2-4x-12}{{\color{brown}{ -2}}+2}\implies \cfrac{x^2-4x-12}{0}\)
jdoe0001
  • jdoe0001
whenever the value of "x", makes the denominator 0, it makes the fraction undefined, and that means that's where the graph has a gap or is discontinued
anonymous
  • anonymous
ok, i understand
anonymous
  • anonymous
was i wrong?
jdoe0001
  • jdoe0001
well, once the x+2 gets cancelled all you're left with is x-6 or x-6 = 0 x = 6 <-- solution, or x-intercept
anonymous
  • anonymous
ok.
anonymous
  • anonymous
:) thanks once again
jdoe0001
  • jdoe0001
yw

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