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do question 5 please Divide and get the answer into the form a + b i: 3 - 2i/4 -

ID: 3014971 • Letter: D

Question

do question 5 please

Divide and get the answer into the form a + b i: 3 - 2i/4 - i Find a rational function with vertical asymptotes x = -2 and x = 3 and with horizontal asymptote y = 4 and with the y-intercept (0, 2). Consider the function f(x) = -3x^2 + 12/x^2 - 5x + 6 and find each of the following: Be careful, this problem is a bit tricky Factor first. a) The domain ____ b) The y intercept _____ c) the x-intercept(s) ____ d) The equations for all vertical asymptotes _____ e) The equations for all horizontal asymptotes ______ a)Starting with the graph y = 2*, list the transformations - in proper order - needed to obtain the graph of the graph of f(x) = (4)2* - 3. Find each of the following for f(x) = (4)2* - 3: b) The domain of f(x) _____ c) The range of f(x) _____ d) Equation for: horizontal asymptote ______ vertical asymptote ______ (or, write "none") e) Complete the table and use it to help draw the graph of f(x).

Explanation / Answer

Given     f(x) = (-3x^2 + 12)/(x^2 – 5x + 6)

a) Domain ========>   x < 2,    or    2 < x < 3,   or    x > 3

b) y-intercept ======> (0, 2)

c) x-intercept ======> (-2, 0)

d) vertical asymptotes ======>   x = 2, x = 3

e) Horizontal asymptotes =======> y = -3