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anonymous
 one year ago
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?
anonymous
 one year ago
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?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry i forgot your name :) so i couldn't tag you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well hmmm \(\bf f(x)=\cfrac{2x^2+5x12}{x+4}\) anyway to factor say \(\bf 2x^2+5x12?\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm,, right so \(\bf \cfrac{2x^2+5x12}{x+4}\implies \cfrac{\cancel{(x+4)}(2x3)}{\cancel{(x+4)}}\) so.. that's the graph, just a LINEar function, thus is just a line now, where is it discontinued, where does the line have a gap?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so.. let's us check if say we set x = 4 so...on the original equation we'd have \(\bf \cfrac{2x^2+5x12}{x+4}\qquad {\color{brown}{ x=4}}\implies \cfrac{2{\color{brown}{ 4}}^2+5{\color{brown}{ 4}}12}{{\color{brown}{ 4}}+4}\) the denominator turns to 0, thus making the fraction undefined, thus the gap at that value, when x= 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the zero would be at 3/2, and 0? And discontinuity would be (4,11)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the zero is at x= 3/2 and the discontinuity is at x = 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Gotcha :) Thanks once again

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don't kill me but I have another, I'll tag u again :)
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