To solve the expression [tex]\( y = x - \frac{1}{2} \sqrt{x} \)[/tex], let's break it down step by step.
1. Identify the Variables and Constants:
- We have a variable [tex]\( x \)[/tex].
- The constants involved are the coefficient [tex]\( -\frac{1}{2} \)[/tex] and the operations on [tex]\( x \)[/tex] (such as taking the square root).
2. Understand the Expression:
- The expression involves two parts: [tex]\( x \)[/tex] and [tex]\( -\frac{1}{2} \sqrt{x} \)[/tex].
- [tex]\( \sqrt{x} \)[/tex] represents the square root of [tex]\( x \)[/tex].
3. Combine the Terms:
- Start with the variable [tex]\( x \)[/tex].
- Subtract [tex]\( \frac{1}{2} \sqrt{x} \)[/tex] from it.
Therefore, if we want to express the function [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex], we can write it as:
[tex]\[ y = x - \frac{1}{2} \sqrt{x} \][/tex]
4. Final Expression:
- Simplifying this, we have:
[tex]\[ y = x - 0.5 \sqrt{x} \][/tex]
So, the final form of the expression is:
[tex]\[ y = -0.5 \sqrt{x} + x \][/tex]
This concludes the detailed solution for the given expression.
