4) Let f(x) = 1/x be the parent function. Let g(x) = (3x - 10)/(x - 4) be a transformation of f(x).
(a) Rewrite g(x) in the form a + (k/(x - 4)).
(b) Describe in words the transformations that take f(x) to g(x).
(c) If f(x) contains the points (-2, -½) and (1, 1), find the corresponding coordinates on g(x) using the transformation rules from part (b).
(d) Find the equations of the vertical and horizontal asymptotes.
GM....I don't know (b) or (c) but here's (a) and (d)
x - 4 [ 3x - 10 ]
3x - 12
So g(x) = 3 + 2 / ( x - 4)
Using the first function....the horizontal asymptote is
y = 3 / 1 = 3
And the vertical symptote is x = 4