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Find the nonpermissible replacement for [tex]$b$[/tex] in this expression.

[tex]\frac{b-7}{b-1}[/tex]

Enter the correct answer.

Sagot :

GinnyAnswer
To identify the nonpermissible replacement for [tex]\( b \)[/tex] in the expression [tex]\(\frac{b-7}{b-1}\)[/tex], we need to determine where the denominator equals zero. This is crucial because division by zero is undefined in mathematics.

Here are the steps to find the nonpermissible replacement:

1. Identify and set the denominator equal to zero:
[tex]\[ b - 1 = 0 \][/tex]

2. Solve the equation for [tex]\( b \)[/tex]:
[tex]\[ b = 1 \][/tex]

The value [tex]\( b = 1 \)[/tex] makes the denominator zero, which results in the expression being undefined.

Therefore, the nonpermissible replacement for [tex]\( b \)[/tex] in the expression [tex]\(\frac{b-7}{b-1}\)[/tex] is:

[tex]\[ \boxed{1} \][/tex]
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