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

This type of question, asked 2 times: 3 May 2023 S1, 11 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    133
    If g(x)=x2+x−1g(x)=x^2+x-1 and (g∘f)(x)=4x2−10x+5(g\circ f)(x)=4x^2-10x+5, then f(2)f(2) is equal to

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  2. Question 2

    11 Apr 2026 S2

    68
    If g(x)=x2+x−2g(x) = x^2 + x - 2 and 12(g∘f)(x)=2x2−5x+2\dfrac{1}{2}(g \circ f)(x) = 2x^2 - 5x + 2 then f(x)f(x) is equal to

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