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Beyond Horizon Set 1 Paper 1 · Q1

Paper 1Functions & graphsPowers & logarithms

For what values of xx is f(x)f(x) a valid function?

f(x)=12log⁡(x2−2x−3)f(x)=\frac{1}{2\log(x^2-2x-3)}
A(0,∞)(0,\infty)
B(−∞,−1)x≠1±5(-\infty,-1)\quad x\ne 1\pm\sqrt{5}
C(−∞,−1)∪(3,∞)x≠1±5(-\infty,-1)\cup(3,\infty)\quad x\ne 1\pm\sqrt{5}
D(−∞,−3)∪(1,∞)x≠1±5(-\infty,-3)\cup(1,\infty)\quad x\ne 1\pm\sqrt{5}
Ef(x)f(x) is never valid
F(−∞,−1)∪(3,∞)(-\infty,-1)\cup(3,\infty)

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