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BITSAT2024MathematicsFunctionsActual

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

Options

  1. A10
  2. B12
  3. C8
  4. D14

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 x y-2 y=x+3x(y-1)=2 y+3x= 2 y+3 y-1 y can take any value except y=1 Co-domain = R - 1 m=13 l+2 m=3(2)+2(1)=8

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