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anonymous
 one year ago
f(x) = 6x2  x  12 and g(x) = 2x  3 find the function (f/g)(x)
anonymous
 one year ago
f(x) = 6x2  x  12 and g(x) = 2x  3 find the function (f/g)(x)

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[f(x) = 6x^2x12\] \[g(x) = 2x3 \] If your question is just asking to find the function \[\frac{f(x)}{g(x)}\] then we just place the f(x) here  place the g(x) here the notation I'm using is the same as (f/g)(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But I can't simplify 6x^2  x 12. So there is no real answer for this equation?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1we could try to simplify 6^xx12 using b^24ac which is the discriminant.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1(1)^24(6)(12) for a = 6, b = 1, and c = 12

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1if we have a perfect square number like 25 16 9 then we can factor if we have a nonperfect square number like 3 32... then we can't factor and have to use the quadratic equation (or just leave the problem alone in this case)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so from the discriminant (1)^24(6)(12) = 124(12) =1+288 =289 we have a perfect square .. because the square root of 289 is 17

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so we can factor 6x^2x12... it becomes (2x3)(3x+4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay. so then the 2x 3 crosses each other out which leaves 3x+4?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1yes! that's right! the 2x3 terms cancels out

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{(2x3)(3x+4)}{2x3} \rightarrow 3x+4 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so if the question is Given f(x) = x + 2 and g(x) = x2  4, find the function (fg)(x) then the answer would be x^3 2x^2 4x  8

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or did I do that wrong? Sorry. Still trying to get the hang of this

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so (fg(x) or f(x)(g(x)) means that we multiply the f(x) function with the g(x) function

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1f(x)(g(x) = \[(x+2)(x^24) \] then we use foil method

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1you've done it right....it's just that my terms have been rearranged. It means the same thing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay got it! Thank you so much
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