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Given, if y=f(x)=(2x+1)/(3x-m) and if f(y)=x, Find m.
Asked by pcgamingisgood | 13 Sep, 2019, 21:40: PM
answered-by-expert Expert Answer
y equals f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus m end fraction space a n d space f left parenthesis y right parenthesis equals x space i. e. space fraction numerator 2 y plus 1 over denominator 3 y minus m end fraction equals x T a k e space x equals 0 space i n space t h e space f i r s t space e q u a t i o n rightwards double arrow y equals negative 1 over m S u b s t i t u t i n g space y space i n space t h e space s e c o n d space e q u a t i o n space a n d space x equals 0 space i s space a l r e a d y space t a k e n rightwards double arrow 0 equals fraction numerator 2 cross times begin display style fraction numerator negative 1 over denominator m end fraction end style plus 1 over denominator 3 cross times begin display style fraction numerator negative 1 over denominator m end fraction end style minus m end fraction rightwards double arrow negative 2 over m plus 1 equals 0 rightwards double arrow m equals 1 half
Answered by Renu Varma | 16 Sep, 2019, 18:53: PM

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