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,
[tex]\frac{(x-4)^2}{(x-9)^2}[/tex]
Thus, for excluded value,
[tex](x-9)^2 = 0[/tex]
⇒ 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.
