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Inverse of a linear fractional function and its value at a point

This type of question, asked 3 times: 14 May 2024 S2, 13 Apr 2026 S2, 20 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    14 May 2024 S2

    107
    If f(x)=2x−33x−4,x≠43f(x) = \frac{2x-3}{3x-4}, x \neq \frac{4}{3}, then f−1(x)f^{-1}(x) is

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  2. Question 2

    13 Apr 2026 S2

    69
    If g(x)g(x) is the inverse function of f(x)f(x), where f(x)=5x+34x−1f(x) = \dfrac{5x + 3}{4x - 1}, then g(1)=g(1) =

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  3. Question 3

    20 Apr 2026 S2

    68
    If f(x)=2x−1x+5,x≠−5f(x) = \dfrac{2x - 1}{x + 5}, x \neq -5 then f−1(x)f^{-1}(x) is equal to

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