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MHT CET202314 May 2023Evening ShiftMathematicsFunctionsActual

If f (x)= 2 x-3 3 x-4 , x 4 3 , then the value of f ⁻¹(x) is

Options

  1. A4 x-3 3 x-2
  2. B3 x-2 4 x+3
  3. C3 x-4 4 x-2
  4. D2 x+3 4 x-3

Correct answer

A. 4 x-3 3 x-2

Step-by-step solution

Let f (x)=y x= f ⁻¹(y) aligned & y= 2 x-3 3 x-4 & 3 x y-4 y=2 x-3 & x(3 y-2)=4 y-3 & x= 4 y-3 3 y-2 & f ⁻¹(y)= 4 y-3 3 y-2 & f ⁻¹(x)= 4 x-3 3 x-2 aligned

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