AP EAMCET20225 Jul 2022Evening ShiftMathematicsFunctionsActual

If a function f : R - l R - m defined by f ( x )= x+3 x-2 is a bijection, then 3 l-2 m=

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Correct answer

C. 8

Step-by-step solution

f(x)= x+3 x-2 f(x) is not defined for x=2 i.e. domain of f(x) is R - 2 l=2 Now, y= x+3 x-2 aligned & x y-2 y=x+3 & x(y-1)=2 y+3 & x= 2 y+3 y-1 & y can take any value except & y=1 & co-domain = R - 1 aligned m=13 l+2 m=3(2)+2(1)=8

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