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Qiuyun TMUA Simulation Test Paper 2 · Q18

Paper 2Functions & graphs

The original function f(x)=ex+e−xex−e−xf(x)=\dfrac{e^x+e^{-x}}{e^x-e^{-x}} is rotated by π2\dfrac\pi2 anticlockwise around the origin (0,0)(0,0).

Which of the following is the final function?

Aln⁡x−1x+1\ln\dfrac{x-1}{x+1}
Bln⁡x−1x+1\ln\sqrt{\dfrac{x-1}{x+1}}
Cln⁡x+1x−1\ln\dfrac{x+1}{x-1}
Dln⁡x+1x−1\ln\sqrt{\dfrac{x+1}{x-1}}
ENone of the above is correct.

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