The domain of definition of the function is:

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The domain of definition of the function f(x)=34−x2+log⁡10(x3−x)f(x)=\frac{3}{4-x^2}+\log_{10}(x^3-x) is: (a) (1,2)(1,2) (b) (−1,0)∪(1,2)(-1,0)\cup(1,2) (c) (1,2)∪(2,∞)(1,2)\cup(2,\infty) (d) (−1,0)∪(1,2)∪(2,∞)(-1,0)\cup(1,2)\cup(2,\infty)

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