To find the quotient f(x)/g(x), we divide the two functions:
f(x) = 3x - 6
g(x) = x - 2
f(x) / g(x)
= (3x -6)/(x - 2)
Therefore, the quotient is:
f(x)/g(x) = (3x -6)/(x - 2)
To find the domain, we need to ensure that the denominator x - 2 does not equal 0. So we have:
x - 2 ≠ 0
x ≠ 2
Therefore, the domain is all real numbers except 2:
Domain = x
In summary:
f(x)/g(x) = (3x -6)/(x - 2)
Domain = x
This means the quotient is (3x -6)/(x - 2) and it is defined for all real numbers except 2, which would result in division by zero.
Hope this explanation makes sense! Let me know if you have any other questions.