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James Chen TMUA Paper 1 · Q11

Paper 1Functions & graphsAlgebra

Which function f(x)f(x) satisfies the equation abcd4=f−1(f(a)+f(b)+f(c)+f(d)4)\sqrt[4]{abcd}=f^{-1}\left(\dfrac{f(a)+f(b)+f(c)+f(d)}4\right), where f−1(x)f^{-1}(x) is the inverse function of f(x)f(x)?

Af(x)=xf(x)=x
Bf(x)=x2f(x)=x^2
Cf(x)=log⁡2025(x)f(x)=\log_{2025}(x)
Df(x)=(ln⁡(x))2f(x)=(\ln(x))^2
Ef(x)=ln⁡(x2)f(x)=\ln(x^2)
Ff(x)=exf(x)=e^x

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