Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The image displays a mathematical function evaluation problem from the Acellus Learning System, focused on simplifying the function. The function is given by:
\[ f(x) = x^2 + 3x - \frac{x}{2} \]
The problem asks to evaluate the function at \( x = 6 \), denoted as:
\[ f(6) = [?] \]
Students are reminded to "Be sure to simplify your answer."
There is an input box labeled "Answer" for entering the final simplified value.
### Explanation for Educational Context
In this problem, students are required to substitute \( x = 6 \) into the function \( f(x) \) and simplify the expression:
1. **Substitute**: Replace every instance of \( x \) in the function with 6.
2. **Simplify the Expression**:
\[
f(6) = 6^2 + 3(6) - \frac{6}{2}
\]
\[
f(6) = 36 + 18 - 3
\]
\[
f(6) = 51
\]
Thus, the correct input for \( f(6) \) would be 51.
### Interface Notes
- This educational interface requires the student to enter the simplified numeric answer into a provided text box.
- The result can be submitted by clicking the "Enter" button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63db174d-115b-4727-b1c6-3fe38fbd58dc%2F05a39ef6-6ce2-40a5-9ba4-15f8b021b865%2F63bomf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays a mathematical function evaluation problem from the Acellus Learning System, focused on simplifying the function. The function is given by:
\[ f(x) = x^2 + 3x - \frac{x}{2} \]
The problem asks to evaluate the function at \( x = 6 \), denoted as:
\[ f(6) = [?] \]
Students are reminded to "Be sure to simplify your answer."
There is an input box labeled "Answer" for entering the final simplified value.
### Explanation for Educational Context
In this problem, students are required to substitute \( x = 6 \) into the function \( f(x) \) and simplify the expression:
1. **Substitute**: Replace every instance of \( x \) in the function with 6.
2. **Simplify the Expression**:
\[
f(6) = 6^2 + 3(6) - \frac{6}{2}
\]
\[
f(6) = 36 + 18 - 3
\]
\[
f(6) = 51
\]
Thus, the correct input for \( f(6) \) would be 51.
### Interface Notes
- This educational interface requires the student to enter the simplified numeric answer into a provided text box.
- The result can be submitted by clicking the "Enter" button.
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