Question

List the transformations that take
g(x)=1/x to f(x)=3x-4/x+2.

Is it
1. reflection across y axis?
2. translate left 2 units?
3. translate up 3 units?
4. vertically stretch by a factor of 10?

Answer 1

Assuming the usual sloppiness with parentheses, I'll assume that

f(x) = (3x-4)/(x+2) = -10/(x+2) + 3

so you appear to be correct, with the caveat that the stretch is done before the upward shift.