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Find f from f(g(x)) and g(x)

This type of question, asked 2 times: 12 May 2024 S1, 19 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    12 May 2024 S1

    106
    If g(x)=1+xg(x)=1+\sqrt{x} and f(g(x))=3+2x+xf(g(x))=3+2\sqrt{x}+x, then f(f(x))f(f(x)) is

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  2. Question 2

    19 Apr 2026 S2

    69
    If g(x)=1−xg(x) = 1 - \sqrt{x} and f(g(x))=5+4x+xf(g(x)) = 5 + 4\sqrt{x} + x, then the value of f(6)f(6) is...

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