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Cie math P1

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Deadly_king:

--- Quote from: Dania on October 12, 2010, 12:29:31 am ---Asif, I need you again. :)

How would I find the inverse of this y= 2x2-12x+13

Thanks :D

--- End quote ---

Let f(x) = 2x2 - 12x + 13
First you should complete the square of the equation.

You'll obtain f(x) = 2(x-3)2 - 5

To obtain its inverse, you need to make x subject of formula.

Let 2(x-3)2 - 5 = y
y + 5 = 2(x-3)2 ----> (y + 5)/2 = (x-3)2
Now you take roots on both sides.
((y+5)/2)1/2 = x - 3
Hence x = ((y+5)/2)1/2 + 3
Now replace y by x

f-1(x) = ((x+5)/2)1/2 + 3
Therefore the inverse of the given equation will be ((x+5)/2)1/2 + 3

Hope it helps :)

S.M.A.T:
DK your workings will definitely help ;)........+rep

Deadly_king:

--- Quote from: asiftasfiq93 on October 12, 2010, 09:35:06 pm ---DK your workings will definitely help ;)........+rep

--- End quote ---

Thanks buddy  :)

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