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if f(x)=(2x-1)/(x+2), find the inverse if possible

Deathstroke_rule  Feb 26, 2017
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This is a little tricky !!!......we want to first get x by itself

 

y = (2x-1)/(x+2)   multiply   both sides by x +  2

 

y(x +2)  = 2x - 1

 

xy + 2y =  2x - 1

 

xy - 2x =  -2y - 1

 

x ( y - 2)  = -(2y + 1 )   divide  both sides by y - 2

 

x  =  -(2y + 1) / (y - 2)     .......now ...."swap"  x and y

 

y  = - (2x + 1) / ( x - 2)     and for y, write  f-1 (x)

 

f-1 (x )  =  - (2x + 1) / (x - 2)

 

 

cool cool cool

CPhill  Feb 26, 2017

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