We appreciate your visit to What is the domain of the function tex h x sqrt x 7 5 tex A tex x leq 5 tex B tex x geq. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the domain of the function [tex]\( h(x) = \sqrt{x-7} + 5 \)[/tex], we need to determine the values of [tex]\( x \)[/tex] for which the expression is defined.
1. Understanding the Square Root: The square root function, [tex]\(\sqrt{x-7}\)[/tex], requires the expression inside the square root to be non-negative because the square root of a negative number is not defined in the set of real numbers.
2. Setting the Condition: To ensure that the expression inside the square root is non-negative, we set up the inequality:
[tex]\[
x - 7 \geq 0
\][/tex]
3. Solving the Inequality: Solving the inequality for [tex]\( x \)[/tex]:
[tex]\[
x \geq 7
\][/tex]
4. Conclusion: Thus, the domain of the function is all real numbers [tex]\( x \)[/tex] such that [tex]\( x \geq 7 \)[/tex].
Based on these steps, the correct answer is:
C. [tex]\( x \geq 7 \)[/tex]
1. Understanding the Square Root: The square root function, [tex]\(\sqrt{x-7}\)[/tex], requires the expression inside the square root to be non-negative because the square root of a negative number is not defined in the set of real numbers.
2. Setting the Condition: To ensure that the expression inside the square root is non-negative, we set up the inequality:
[tex]\[
x - 7 \geq 0
\][/tex]
3. Solving the Inequality: Solving the inequality for [tex]\( x \)[/tex]:
[tex]\[
x \geq 7
\][/tex]
4. Conclusion: Thus, the domain of the function is all real numbers [tex]\( x \)[/tex] such that [tex]\( x \geq 7 \)[/tex].
Based on these steps, the correct answer is:
C. [tex]\( x \geq 7 \)[/tex]
Thanks for taking the time to read What is the domain of the function tex h x sqrt x 7 5 tex A tex x leq 5 tex B tex x geq. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
