Answer:
all real numbers except the number 2 and number 1
Step-by-step explanation:
we have
[tex]f(x)=\frac{3x}{(x-1)(x-2)}[/tex]
we know that
In a quotient, the denominator cannot be equal to zero
so
[tex](x-1)(x-2)=0[/tex]
Solve for x
The values of x are
x=2, x=1
so
The domain of the function is all real numbers except the number 2 and number 1
In interval notation
(-∞,1) ∩ (1,2) ∩ (2,∞)
