B f(x) = x-2, 43, examine whether x...
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B f(x) = x-2, 43, examine whether x-3 invertible also find p! f(x) is

11th - 12th Class
Maths
Solution
103
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( f(x)=y=frac{x-2}{x-3} ) ( x y-3 y=x-2 ) ( x y-x=3 y-2 ) ( x(y-1)=34-2 ) ( x=frac{3 y-2}{y-1} ) ( 8-1(y)=frac{3 y-2}{y-1} ) ( therefore f^{-1}(x)=frac{3 x-2}{x-1} )
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