Question

What are the possible values of x for the following functions?

f(x)= 3x/(x−1)(x−2)

Answer 1

Answer:

all real numbers except the number 2 and number 1

Step-by-step explanation:

we have

$f(x)=\frac{3x}{(x-1)(x-2)}$

we know that

In a quotient, the denominator cannot be equal to zero

so

$(x-1)(x-2)=0$

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,∞)