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Asher Falcon TMUA Paper 1 · Q14

Paper 1Functions & graphs

For which function is f(f(f(x)))>0f(f(f(x)))>0 for all real xx?

Af(x)=sin⁡(x)f(x)=\sin(x)
Bf(x)=∣x∣f(x)=\lvert x\rvert
Cf(x)=x3f(x)=x^3
Df(x)=cos⁡(x)f(x)=\cos(x)
Ef(x)=ln⁡(x)f(x)=\ln(x)
Ff(x)=tan⁡(x)f(x)=\tan(x)
Gf(x)=sin⁡2(x)f(x)=\sin^2(x)

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