Posted by Katie S on Wednesday, September 1, 2010 at 4:08pm.
Find the Domain of the function:
f(x)=the square root of the entire fraction- x^2+6x-16 over x^2-2x-15
- Pre calc - Reiny, Wednesday, September 1, 2010 at 5:00pm
domain is your choice of x's you can use
First of all the bottom cannot be zero
x^2 - 2x - 15 ≠ 0
(x-5)(x+3) ≠ 0
x≠5 or x≠ -3
Secondly the entire expression cannot be negative, because of the square root part
it simplifies to
clearly any x<-8 and x> 5 are ok
also the expression is positive between -3 and 2
it is negative between -8 and -3, as well as 2 to 5
I will let let you summarize the above.
Make a number line , put those critical values on and mark the line accordingly
Answer This Question
More Related Questions
- Calc - Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their ...
- Pre Calc!!!!!!!!!! test tom!! - Square root of x is the equation. Translate: ...
- Calculus - Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their ...
- Pre calculus - find the domain of the given function f(x)=square root 9-x
- calculus HELP - how do you find the domain of the function:: 14/(x^2 - 361) <...
- Algebra - How do you find the domain of a function when the number is outside of...
- ALGEBRA - How do you find the domain of a function when the number is outside of...
- math 116 - What is the difference between domain and range? The domain of a ...
- pre calculus - 1.) If h(x)= (fog)(x) and h(x) = 3 over the square root of x+3 , ...
- algebra - Which shows the expressions in the order they would appear on a number...