Question

Let f(x)=3x-6 and g(x)=x-2. Find f/g and its domain

Answer 1

Can I do synthetic division on this problem?

Answer 2

Factor, f(x). Cancel common factor with g(x). Set g(x)=0 to find restriction on domain.

Answer 3

So first I break down the 3x-6 to equal x-2?

Answer 4

\(\bf f(x)=3x-6\qquad g(x)=x-2
\\ \quad \\
\cfrac{f(x)}{g(x)}\iff \cfrac{3x-6}{x-2}
\)

Answer 5

f/g(x)
= [3(x - 2)]/(x - 2)
= 3

The domain is all real numbers except x ≠ 2

Answer 6

Ohhhhh okay. Thanks y'all!