Question 97
What is the domain of definition of $$f(x) = \frac{\sqrt{(15 -x)(\log_{10}x-1})}{x-24 \log_{4}2}$$ is:
Solution
$$\log_42$$ is 1/2. So the denominator will be $$x-12$$. In numrator if x goes below 10 or above 15 the value under root goes negative. X can't be 12 as the denominator goes to 0. So the intervel is $$\left[10,12\right)\ \ U\ \left(12,15\right]$$
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