1. Write an equation of a rational function that satisfies ALL of the given the given conditions described below > has no vertical asymptotes, > horizontal asymptote at y = 5, a hole at X = 3, - x-intercepts at origin.

please complete sub part b)

Find the vertical asymptotes of the rational function. f(x)= x-5/25x-x^3 a. x=0,x=5 b. x=−5,x=5 c. x=0,x=−5 d. x=0,x=−5,x=5

Write the equation of a rational function of the form y= quadratic/quadratic that satisfies the following properties i)  there is a horizontal asymptote at y=2 ii) there is a vertical asymptote at x=3 ii) there is an x-intercept of 2 iv) there is a hole (removable discontinuity) at (-2, 8/5) Express your answer in the form y = quadratic/quadratic where the numerator and denominator are in standard form (y = ax^2 + bx + c).