Find the linear to linear function f(x) satisfying the given requirements: f(10)=20, f(30)=25, and the graph of f(c) has y=30 as its horizontal asymptote

Answer 1

f(x) = (ax+b)/(x+d)

Since y=30 is the asymptote, a=30:

f(x) = (30x+b)/(x+d)

Now plug in your two points and solve for b,d.