Question
Find the value of \( x \) for which \( f(x)=3 \) \( f(x)=5 x+-8 \)
Ask by Dunn Page. in the United States
Jan 21,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = \frac{11}{5} \) or \( x = 2.2 \).
Solution
To find the value of \( x \) for which \( f(x) = 3 \), given the function \( f(x) = 5x - 8 \), follow these steps:
1. **Set the function equal to 3:**
\[
5x - 8 = 3
\]
2. **Add 8 to both sides to isolate the term with \( x \):**
\[
5x - 8 + 8 = 3 + 8 \\
5x = 11
\]
3. **Divide both sides by 5 to solve for \( x \):**
\[
x = \frac{11}{5}
\]
4. **Simplify the fraction (if desired):**
\[
x = 2.2
\]
**Therefore, the value of \( x \) for which \( f(x) = 3 \) is \( \frac{11}{5} \) or \( 2.2 \).**
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Simplify this solution The Deep Dive
To find the value of \( x \) for which \( f(x) = 3 \), we can set the equation \( 5x - 8 = 3 \). First, add 8 to both sides: \( 5x - 8 + 8 = 3 + 8 \) \( 5x = 11 \) Next, divide both sides by 5: \( x = \frac{11}{5} \) or \( x = 2.2 \). So, the value of \( x \) for which \( f(x) = 3 \) is \( \frac{11}{5} \) or \( 2.2 \). Now go forth and conquer those equations with style! Remember to always check your work. When you substitute \( x \) back into the function, it should equal 3. It’s a great practice to verify your solutions!
