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Inverse of a composite function

This type of question, asked 2 times: 10 May 2024 S1, 23 Apr 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    10 May 2024 S1

    115
    f(x)=2x−3f(x)=2x-3, g(x)=x3+5g(x)=x^3+5. Value of (f∘g)−1(−9)(f\circ g)^{-1}(-9) is

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  2. Question 2

    23 Apr 2025 S1

    142
    If f(x)=3x+10, g(x)=x2−1f(x) = 3x+ 10,\text{ }g(x) =x^{2}- 1, then (fog)−1(x)=(fog)^{- 1}(x) =

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