5. (7 marks) Find the domain of each of the following and write it in the indicated notation. (a) $f(x) = \frac{3x}{x^2 - x - 56}$ (set builder notation) (b) $g(x) = \sqrt{x^2 - 2x - 8}$ (use a polarity table and answer in interval notation) (c) $h(x) = 3x^2 - 2x + 1$ (interval notation)
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Step 1: For (a), we need to find the values of x for which the denominator is not zero. Show more…
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