Question
Identify the restricted values. \( \frac{-1}{h-7} \)
Ask by Turner Chan. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The expression \( \frac{-1}{h-7} \) is undefined when \( h = 7 \).
Solution
To identify the restricted values of the expression \( \frac{-1}{h-7} \), we need to determine when the denominator is equal to zero, as division by zero is undefined.
1. Set the denominator equal to zero:
\[
h - 7 = 0
\]
2. Solve for \( h \):
\[
h = 7
\]
Thus, the restricted value for the expression \( \frac{-1}{h-7} \) is \( h = 7 \). This means that \( h \) cannot equal 7, as it would make the denominator zero and the expression undefined.
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Simplify this solution Mind Expander
The expression \( \frac{-1}{h-7} \) has a restricted value when the denominator equals zero since division by zero is undefined. To find the restricted value, set the denominator equal to zero: \( h - 7 = 0 \) Solving for \( h \), we find: \( h = 7 \) Thus, the restricted value for this expression is \( h = 7 \), and when \( h \) takes this value, the expression becomes undefined.
