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if-f-x-2x-3-x-2-1-x-2-1-Find-the-value-for-which-f-x-is-undefied-2-Express-f-x-in-partial-fraction-

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Question Number 27578 by Mcfaithal last updated on 10/Jan/18
if f(x)=((2x−3)/((x^2 −1)(x+2))) 1. Find the value for which f(x) is undefied. 2.Express f(x) in partial fraction
iff(x)=2x−3(x2−1)(x+2)1.Findthevalueforwhichf(x)isundefied.2.Expressf(x)inpartialfraction
Commented by abdo imad last updated on 10/Jan/18
D=R−{1,−1,−2} f(x)= (a/(x−1)) + (b/(x+1)) +(c/(x+2)) we have f(x)= ((2x−3)/((x−1)(x+1)(x+2))) ⇒ a= ((−1)/6) , b= (5/2) , c= ((−7)/3)and f(x)= ((−1)/(6(x−1))) + (5/(2(x+1))) − (7/(3(x+2))) .
D=R−{1,−1,−2}f(x)=ax−1+bx+1+cx+2wehavef(x)=2x−3(x−1)(x+1)(x+2)⇒a=−16,b=52,c=−73andf(x)=−16(x−1)+52(x+1)−73(x+2).

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