SOLUTION: If f(x) = (2x-5)/(x+6), Find f^-1(x). aka: Find the inverse. 2x-5 =y(x+6) 2x= yx+6y+5 2x= yx +6y +5 2x-yx=6y+5 x(2-y)= 6y+5 x= (6y+5)/(2-y) ie f^-1(x)=(6x+5)/(2-x)

Algebra ->  Functions -> SOLUTION: If f(x) = (2x-5)/(x+6), Find f^-1(x). aka: Find the inverse. 2x-5 =y(x+6) 2x= yx+6y+5 2x= yx +6y +5 2x-yx=6y+5 x(2-y)= 6y+5 x= (6y+5)/(2-y) ie f^-1(x)=(6x+5)/(2-x)      Log On


   

Question 377500: If f(x) = (2x-5)/(x+6), Find f^-1(x). aka: Find the inverse.
2x-5 =y(x+6)
2x= yx+6y+5
2x= yx +6y +5
2x-yx=6y+5
x(2-y)= 6y+5
x= (6y+5)/(2-y)
ie f^-1(x)=(6x+5)/(2-x)
Answer by ramya2010(1) About Me  (Show Source):
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If f(x) = (2x-5)/(x+6), Find f^-1(x). aka: Find the inverse.
2x-5 =y(x+6)
2x= yx+6y+5
2x= yx +6y +5
2x-yx=6y+5
x(2-y)= 6y+5
x= (6y+5)/(2-y)
ie f^-1(x)=(6x+5)/(2-x)