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BITSAT Mathematics Functions 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Mathematics Question (2023) — Solution

Question

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. A. 3+4 x 6 x-4
  2. B. 6 x-4 3+4 x
  3. C. 3-4 x 6 x-4
  4. D. 9+2 x 6 x-4

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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