Let . Which of the following intervals is the domain of…

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

Problem

Let q(x)=2x−1⋅15−x⋅ln⁡(x−2)q(x)=\sqrt{2x-1}\cdot\dfrac{1}{\sqrt{5-x}}\cdot\ln(x-2). Which of the following intervals is the domain of q(x)q(x)? (a) (12,5)\left(\dfrac12,5\right) (b) [2,5)[2,5) (c) (2,5)(2,5) (d) (2,5](2,5]

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