Question

What is the excluded value for y=1/x⁹-3?
a) x= 0
b) x= ⁹√3
c) x= -⁹√3
d) x= 3

Answer 1

The excluded value for the function y=1/(x⁹)-3 is x=0, because any non-zero number raised to the ninth power does not equal zero. Therefore, the correct answer is option a) x=0, as division by zero is undefined.

Step-by-step explanation:

The excluded value for the function y=1/(x⁹)-3 is that value of x which makes the denominator equal to zero since division by zero is undefined in mathematics. To find this value, set the denominator equal to zero and solve:

x⁹ = 0

Here, since any non-zero number raised to the ninth power is not zero, the only number that satisfies this equation is x = 0. Therefore, the excluded value for x is 0, making option a) the correct answer.