What is the undefined value for 22=4+5x/9x−6

Question

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Write your answer in reduced fraction form, if applicable.

(1 point)
The undefined value is

Answer 1

To find the value for which the expression $\frac{4+5x}{9x-6}$ is undefined, we need to determine when the denominator $9x-6$ equals zero.

Set the denominator equal to zero and solve for $x$:

$$9x-6=0$$

Add 6 to both sides:

$$9x=6$$

Now, divide both sides by 9:

$$x=\frac{6}{9}$$

This simplifies to:

$$x=\frac{2}{3}$$

Thus, the undefined value is:

$$\boxed{{\displaystyle \frac{2}{3}}}$$