Math
posted by Michelle
Determine the points at which the function is discontinuous and state the domain using interval notation
f(u)=(4u^2)/(7u+7πu^2uπ)
Please help.

Steve
It is discontinuous where the denominator is zero, because division by zero is undefined.
so, where is
7u+7πu^2uπ
= 7(u+π)u(u+π)
= (7u)(u+π)
zero?
So the domain is all reals except those values.
Respond to this Question
Similar Questions

math
Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.] f(x) = x + 7 if x < 0 2x − 5 if x ≥ 0 1 continuous discontinuous If it is not continuous on its domain, list the … 
calculus
Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation) 
Calculus
Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2x3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is … 
algebra
Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx3+7 domain=___ (interval notation) range=_____ (interval notation) 
graphing
(0,2)is the vertex what is the domain and range? 
Algebra II
Give an example of a Rational Function that is undefined at x=a where a is a Real Number. Next, state the domain of your Rational Function using both Set Notation and Interval Notation 
Calculus
Find each of the following functions. f(x) = x2 − 3, g(x) = 5x + 2 (a) f compose g State the domain of the function. (Enter your answer using interval notation.) (b) g compose f State the domain of the function. (Enter your answer … 
Calc 1
Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? 
PreCal: Domain
[Note: I really need help on these Domain questions. I've been struggling with this all day] Consider the following: f(x)= 5/x , g(x)= 7/(x+7) Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval … 
Math (Domain and range)
Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation?