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BITSAT2023MathematicsFunctionsActual

Consider the function f in A = R - 2 3 defined as f(x)= 4 x+3 6 x-4 , then f⁻¹ is equal to

Options

  1. A3+4 x 6 x-4
  2. B6 x-4 3+4 x
  3. C3-4 x 6 x-4
  4. D9+2 x 6 x-4

Correct answer

A. 3+4 x 6 x-4

Step-by-step solution

Given f(x)= 4 x+3 6 x-4 Let y= 4 x+3 6 x-4 , aligned & 6 x y-4 y=4 x+3 x(6 y-4)=3+4 y & x= 3+4 y 6 y-4 & f⁻¹(x)= 3+4 x 6 x-4 aligned

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