for which values of x is the expression undefined?

Question

\(\frac{(x+9)}{(7x-2)}\)

Answer 1

The expression is undefined when the denominator is equal to 0, since division by 0 is undefined in mathematics.

Therefore, we need to find the values of x for which \(7x-2 = 0\).

\(7x - 2 = 0\)
\(7x = 2\)
\(x = \frac{2}{7}\)

So, the expression \(\frac{(x+9)}{(7x-2)}\) is undefined when \(x = \frac{2}{7}\).