Question

Write a function g(x), the translation of... that has a horizontal asymptote at y=2 and..

Answer 1

we have that

Vertical asymptote at x=3

so

The denominator could be (x-3)

Horizontal asymptote at y=2

so

Degree on Top is Equal to the Bottom

The numerator could be equal to 2x and the leading coefficient of the denominator is 1

therefore

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