Question

for which values of x is the expression undefined?\\(\frac{x^2 - 1}{7x + 1}\\)

Explanation:

Step1: Recall when a rational expression is undefined

A rational expression \(\frac{f(x)}{g(x)}\) is undefined when the denominator \(g(x) = 0\).

Step2: Set the denominator equal to zero and solve for \(x\)

For the expression \(\frac{x^{2}-1}{7x + 1}\), set the denominator \(7x+1 = 0\).
Solve for \(x\):
Subtract 1 from both sides: \(7x=- 1\).
Divide both sides by 7: \(x =-\frac{1}{7}\).

Answer:

\(x =-\frac{1}{7}\)