A rational Function $\displaystyle g(x)=a/(b+x)$ such that $\displaystyle g(x)= (2x-2)/

(x^2+x-2)$ wherever f is defined. Find the values of a and b

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- Nov 30th 2008, 04:04 PMDragonrational Function
A rational Function $\displaystyle g(x)=a/(b+x)$ such that $\displaystyle g(x)= (2x-2)/

(x^2+x-2)$ wherever f is defined. Find the values of a and b - Nov 30th 2008, 07:34 PMSteve_Jrational FunctionNote that

(a) 2X-2 = 2 (X-1)

and that

(b) X^2 + X - 2 = (X+2) * (X-1)

Since your function is (a) / (b), the (X-1) terms cancel, leaving you with the fraction 2 / (X+2), which you need to equate to a / (X+b).

So if I did the math right, it looks like a = b= 2.

- Steve J