Describe the Domain of the Function:
F(x)= 2x/(x-2)(x-1)
The domain of the function consists of all real numbers x except ____?
where the denominator is zero.
To determine the domain of the function F(x) = 2x/(x-2)(x-1), we need to identify the values of x for which the function is defined.
To find the values that make the function undefined, we need to look for any values of x that would result in a division by zero. In other words, we want to find the values that make the denominators (x-2) and (x-1) equal to zero.
Setting (x-2) = 0, we can solve for x:
x - 2 = 0
x = 2
Setting (x-1) = 0, we can solve for x:
x - 1 = 0
x = 1
So, the function F(x) is undefined when x = 2 and x = 1, as these values would result in division by zero.
Therefore, the domain of the function consists of all real numbers x except x = 2 and x = 1.