If f(x) = (4x + 3)/(6x − 4), x ≠ 2/3, then the inverse of f is: A. (6x − 4)/(4x + 3) B. f itself C. (4x − 3)/(6x + 4) D. Does not exist Answer: B) f itself Explanation: Let y = (4x + 3)/(6x − 4). Solving for x: y(6x − 4) = 4x + 3 → 6xy − 4y = 4x + 3 → x(6y − 4) = 4y + 3 → x = (4y + 3)/(6y − 4). Thus, f⁻¹(x) = (4x + 3)/(6x − 4) = f(x).

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imo class 12 relations and functions

If f(x) = (4x + 3)/(6x − 4), x ≠ 2/3, then the inverse of f is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Relations and Functions #mathematical-reasoning

If f(x) = (4x + 3)/(6x − 4), x ≠ 2/3, then the inverse of f is:

A. (6x − 4)/(4x + 3)
B. f itself
C. (4x − 3)/(6x + 4)
D. Does not exist

Answer: B) f itself

Explanation: Let y = (4x + 3)/(6x − 4). Solving for x: y(6x − 4) = 4x + 3 → 6xy − 4y = 4x + 3 → x(6y − 4) = 4y + 3 → x = (4y + 3)/(6y − 4). Thus, f⁻¹(x) = (4x + 3)/(6x − 4) = f(x).

If f(x) = (4x + 3)/(6x − 4), x ≠ 2/3, then the inverse of f is:

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