For what real value of x is the rational expression \frac{2x + 1}{x - 7} undefined? Fill i… — ACT

For what real value of $x$ is the rational expression $\frac{2x + 1}{x - 7}$ undefined? Fill in the blank with the correct number.

Answer:The rational expression

\frac{2x + 1}{x - 7}

is undefined when $x = 【7】.

The rational expression is undefined when the variable x equals 7.

A rational expression is undefined when its denominator is equal to

0

. For the expression

\frac{2x + 1}{x - 7}

, setting the denominator

x - 7 = 0

and solving for

x

yields

x = 7

Set the denominator of the rational expression equal to 0.

x - 7 = 0

A rational expression is undefined when its denominator is equal to 0 because division by zero is undefined in the real number system.

Solve the linear equation for

x

by adding 7 to both sides.

x = 7

Isolating the variable

x

gives the value that makes the denominator zero.

Identifying values that make a rational expression undefined

Question