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Sagot :
To determine the value of the rational expression [tex]\(\frac{6-x}{x+5}\)[/tex] when [tex]\(x = 2\)[/tex], we will follow these steps:
1. Substitute [tex]\(x = 2\)[/tex] into the expression:
[tex]\[ \frac{6-2}{2+5} \][/tex]
2. Simplify the numerator:
[tex]\[ 6 - 2 = 4 \][/tex]
3. Simplify the denominator:
[tex]\[ 2 + 5 = 7 \][/tex]
4. Write the simplified form of the rational expression:
[tex]\[ \frac{4}{7} \][/tex]
Therefore, when [tex]\(x = 2\)[/tex], the value of the rational expression [tex]\(\frac{6-x}{x+5}\)[/tex] is [tex]\(\frac{4}{7}\)[/tex].
Thus, the correct option is [tex]\(\frac{4}{7}\)[/tex].
1. Substitute [tex]\(x = 2\)[/tex] into the expression:
[tex]\[ \frac{6-2}{2+5} \][/tex]
2. Simplify the numerator:
[tex]\[ 6 - 2 = 4 \][/tex]
3. Simplify the denominator:
[tex]\[ 2 + 5 = 7 \][/tex]
4. Write the simplified form of the rational expression:
[tex]\[ \frac{4}{7} \][/tex]
Therefore, when [tex]\(x = 2\)[/tex], the value of the rational expression [tex]\(\frac{6-x}{x+5}\)[/tex] is [tex]\(\frac{4}{7}\)[/tex].
Thus, the correct option is [tex]\(\frac{4}{7}\)[/tex].
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