calculus HELP
posted by joe .
how do you find the domain of the function::
14/(x^2  361) < this is all under a square root..
i have attempted this so many times and have not found the correct answer yet. how do i solve the domain when it is a square root function with a denominator???? please help!
thanks

calculus HELP 
Reiny
Two conditions are the problem here:
1. We cannot divide by zero
2. We cannot take the square root of a negative.
so 14/√(x^2  361)
= 14/√[(x+19)(x19)]
so clearly x cannot be ± 19
secondly, wouldn't the number under the root sign be negative for all values between 1 and +19
so the domain is
x > 19 OR x < 19 , x is a real number.
Respond to this Question
Similar Questions

ALGEBRA
How do you find the domain of a function when the number is outside of the paranthesese. Example would be y=(square root of x)+3. I know that to find the domain when the number is under the square root, you have to make the number … 
Algebra
How do you find the domain of a function when the number is outside of the paranthesese. Example would be y=(square root of x)+3. I know that to find the domain when the number is under the square root, you have to make the number … 
Algebra
Use the quadratic formula to solve the equation. Give exact answers: 2x^2 1 = 6x. The choices are: a) 3 + square root(7)/2, 3  square root(7)/2 b) 3 + square root(11)/2, 3  square root(11)/2 c) 3 + square root(7)/2, 3  square … 
Algebra
What is the answer? I came up with C. is this correct? 
math 116
What is the difference between domain and range? 
Math
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I multiplied. … 
Calculus
Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that … 
Math
1) Let f(x)=9x2;g(x)=under square root 3x+7. Find each of the following. A) domain of (f+g) B) domain of fg C) domain of f/g (my answer is all r real number am i right? 
Math radical equations
Please show me how to do these step by step because I have a test tomorow and I need to understand how to do these questions : 1. M1 under the square root sign +5= m2 2. 3n+10 under the square root = n+4 3. K9 under the square root … 
Calculus
A rectangle is bounded by the x axis and the semicircle = square root 25x^2. What length and width should the rectangle have so that its area is a maximum?