Saturday
April 19, 2014

Homework Help: Calculus

Posted by Hillary on Thursday, September 24, 2009 at 10:38pm.

Hi!

My question is:

Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2)

a) For what values of x is f(x) discontinuous?
b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if so give the value of the limit.
c) write the equation for each vertical and each horizontal asymptote for f. Justify your answer.
d) A rational function g(x) = (a) / (b + x) is such that g(x)=f(x) whenever f is defined. Find the values of a and b.

Ok so I figured out the answers to a and b. A is "discontinuous at x = -2 and x = 1. and b is "as the limit approches -2, it does not exist and is nonremovable and as the limit approches 1, the limit is 2/3 and is removable". I'm not sure how to do part c and d though. Hopefully someone can help me!!

Thanks!! :)

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
Calculus HELP!!! - Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at...
Calculus - Let f be the function defined by f(x)=2x+11-3e^x If the equation of ...
Calculus Quiz Today - 1. find the values of s for which each function is ...
Let f be the function be defined by f(x)=5^((2x^2) - Let f be the function be ...
Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...
Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...
Calculus - A cost function is given by: A'(x)= 2x^2/x^2-211/x^2. For what values...
CALCULUS - Find and classify all locsl extreme values of each given function.(no...
Calculus, check my answers, please! - Could someone tell me if I'm right, and ...

Search
Members