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Suppose that the functions \( q \) and \( r \) are defined as follows. \[ \begin{array}{l}q(x)=x^{2}+4 \\ r(x)=\sqrt{x+5}\end{array} \] Find the following.

Ask by Summers Schneider. in the United States
Mar 14,2025

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Please specify what you want to find using the functions \( q(x) = x^2 + 4 \) and \( r(x) = \sqrt{x + 5} \).

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Beyond the Answer

To find the values of the functions \( q \) and \( r \), you simply substitute \( x \) into each function. For \( q(x) = x^2 + 4 \): 1. If you consider \( x = 0 \), then \( q(0) = 0^2 + 4 = 4 \). 2. If \( x = 1 \), then \( q(1) = 1^2 + 4 = 5 \). 3. For \( x = 2 \), \( q(2) = 2^2 + 4 = 8 \). Feel free to plug in any value of \( x \) to get \( q(x) \). For \( r(x) = \sqrt{x+5} \): 1. If \( x = 0 \), \( r(0) = \sqrt{0 + 5} = \sqrt{5} \). 2. Taking \( x = 1 \), \( r(1) = \sqrt{1 + 5} = \sqrt{6} \). 3. And for \( x = 4 \), \( r(4) = \sqrt{4 + 5} = \sqrt{9} = 3 \). Thus, you can calculate \( r(x) \) by finding the square root of \( x + 5 \) for any \( x \).

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