High School

Which of the following values of x makes the rational expression below undefined?

Problem: \(\frac{16-x}{7+x}\)

A. 7
B. -7
C. 16
D. -16

Answer :

Answer: The correct option is (B) -7.

Step-by-step explanation: We are given to select the correct values of x that make the following rational expression undefined :

[tex]E=\dfrac{16-x}{7+x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

a rational expression is undefined at the points where the denominator becomes zero.

Therefore, the expression (i) will become undefined when

[tex]7+x=0\\\\\Rightarrow x=-7.[/tex]

Thus, the required value of x where the given expression is undefined is -7.

Option (B) is CORRECT.
B. -7
When the denominator equals zero, that makes it undefined

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