Question

What is the excluded value of x for the expression (x-4)^2/(x-9)^2

Answer 1

Answer: The excluded value of x = 9

Step-by-step explanation:

Since the Excluded values are the values that will make the denominator of a fraction equal to 0.

Because when the denominator of a rational function equals to zero it makes it infinite.

This is why we always exclude the value from the function.

Here The given expression,

$\frac{(x-4)^2}{(x-9)^2}$

Thus, for excluded value,

$(x-9)^2 = 0$

⇒ x - 9 = 0 ( by taking the square root on both sides)

⇒ x = 9 ( by adding 9 on both sides )

Thus, 9 is the excluded value for the given function.

Answer 2

Only excluded value of that equation is 9