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Yotta Paper 1 · Q19

Paper 1Logic & proofPowers & logarithms

Consider f(x)=ln⁡(x2−2x+1)f(x)=\ln(\sqrt{x^2-2x+1}). Which of the following statements is true about f(x)f(x)?

AIt is defined for all real xx.
BDefined for all real x<0x<0 but not all real x>0x>0.
CDefined for all real x>0x>0 but not all real x<0x<0.
DUndefined for x=ex=e.
E8<f−1(2)<98<f^{-1}(2)<9.
Ff(x)=100f(x)=100 has no solutions.

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