Question

The function f(x) = 3/(x-3) * 3 is never equal to zero when:

a) x = 3
b) x = 0
c) x = 6
d) x = -3

Answer 1

The function f(x) = 3/(x-3) * 3 is never equal to zero for any value of x, including x = 3, 0, 6, and -3.

Step-by-step explanation:

The function f(x) = 3/(x-3) * 3 is never equal to zero when x = 3 because the denominator (x-3) would be equal to zero, resulting in an undefined value. Therefore, option a) x = 3 is incorrect.

To check if the function is ever equal to zero, we can set the numerator equal to zero and solve for x. Multiplying both sides by (x-3), we get 3 = 0, which is false. Therefore, the function is never equal to zero for any value of x, including options b) x = 0, c) x = 6, and d) x = -3.