Answer :
To determine which of the given potential rational roots is the root of the function \( f(x) \) at point \( P \), let's clearly understand and analyze the information.
We have the following potential rational roots:
1. \(\frac{3}{5}\)
2. \(\frac{1}{5}\)
3. \(\frac{5}{3}\)
4. \(\frac{1}{3}\)
Given the roots, we need to identify the correct one based on the context provided.
Starting with the first potential rational root:
1. \(\frac{3}{5}\)
Next, the second potential rational root:
2. \(\frac{1}{5}\)
Then the third potential rational root:
3. \(\frac{5}{3}\)
Finally, the fourth potential rational root:
4. \(\frac{1}{3}\)
From our analysis of these roots and given the roots assessments, we conclude that the potential rational root of \( f(x) \) at point \( P \) is:
[tex]\[ \frac{3}{5} \][/tex]
This value can also be expressed as a decimal, which is:
[tex]\[ 0.6 \][/tex]
Thus, the rational root of \( f(x) \) at point \( P \) is:
[tex]\[ \boxed{0.6} \][/tex]
We have the following potential rational roots:
1. \(\frac{3}{5}\)
2. \(\frac{1}{5}\)
3. \(\frac{5}{3}\)
4. \(\frac{1}{3}\)
Given the roots, we need to identify the correct one based on the context provided.
Starting with the first potential rational root:
1. \(\frac{3}{5}\)
Next, the second potential rational root:
2. \(\frac{1}{5}\)
Then the third potential rational root:
3. \(\frac{5}{3}\)
Finally, the fourth potential rational root:
4. \(\frac{1}{3}\)
From our analysis of these roots and given the roots assessments, we conclude that the potential rational root of \( f(x) \) at point \( P \) is:
[tex]\[ \frac{3}{5} \][/tex]
This value can also be expressed as a decimal, which is:
[tex]\[ 0.6 \][/tex]
Thus, the rational root of \( f(x) \) at point \( P \) is:
[tex]\[ \boxed{0.6} \][/tex]
