## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 524: 159

#### Answer

$[3, \infty)$

#### Work Step by Step

Let $f(x)=({x-3})^{1/2}(x+4)^{-1/2}$ In order to find the domain we will have to set the equation inside the square root greater than and equal to zero. we have, ${x-3} \geq 0$ and $x+4 \gt 0$ or, $x \geq 3$ and $x \geq -4$ Thus, Domain for $f(x)=({x-3})^{1/2}(x+4)^{-1/2}$ will be a set of interval to both domains, that is, $[3, \infty)$

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