Question
For the function, \( f(x)=\sqrt{9-x} \), find the following. \( \begin{array}{llll}\text { (a) } f(5) & \text { (b) } f(-4) & \text { (c) } f(4.3) & \text { (d) } f(-1.7)\end{array} \) (a) \( f(5)= \) (Simplify your answer. Type an exact answer, using radicals as needed.)
Ask by Ramirez Mcfarlane. in the United States
Feb 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f(5) = 2 \)
Solution
Calculate or simplify the expression \( \sqrt{9-5} \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{9-5}\)
- step1: Subtract the numbers:
\(\sqrt{4}\)
- step2: Write in exponential form:
\(\sqrt{2^{2}}\)
- step3: Simplify the root:
\(2\)
The value of \( f(5) \) is \( 2 \).
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Simplify this solution Extra Insights
To find \( f(5) \): \[ f(5) = \sqrt{9 - 5} = \sqrt{4} = 2 \] So, \( f(5) = 2 \). Now, let's evaluate each part: (b) \( f(-4) = \sqrt{9 - (-4)} = \sqrt{9 + 4} = \sqrt{13} \) (c) \( f(4.3) = \sqrt{9 - 4.3} = \sqrt{4.7} \) (d) \( f(-1.7) = \sqrt{9 - (-1.7)} = \sqrt{9 + 1.7} = \sqrt{10.7} \) Thus, the results are: (a) \( f(5) = 2 \) (b) \( f(-4) = \sqrt{13} \) (c) \( f(4.3) = \sqrt{4.7} \) (d) \( f(-1.7) = \sqrt{10.7} \)
