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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 8.144 (page 1069)

Find the domain of the function, $h (x) = \sqrt{\frac{9}{x - 5}},$ Write the domain in interval notation.

Short Answer

Expert verified

The domain of the function in interval notation is $(5, \infty)$

Step by step solution

01

Step 1. Given Information

$h (x) = \sqrt{\frac{9}{x - 5}}$

Since the function, has a radical with an index of 2, which is even, we know the radicand must be greater than or equal to 0.

02

Step 2. Finding domain

We set $x - 5 > 0 x > 5$

Interval notation is $(5, \infty)$

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Most popular questions from this chapter

For rational function, $f (x) = \frac{x - 1}{x^{2} - 6 x + 5}$ , a)find the domain of the function b) solve f(x) = 4c) find the points on the graph at this function value.

In the following exercises, solve.

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