SOLUTION: The domain of the function
f(x)=sqrt(x^2-13x+36) consists of one or more of the following intervals (-∞,A],[A,B],[B,∞) where A<B.
Find A
Find B
for each interval
Algebra.Com
Question 1125162: The domain of the function
f(x)=sqrt(x^2-13x+36) consists of one or more of the following intervals (-∞,A],[A,B],[B,∞) where A
Find A
Find B
for each interval answer yes or no to shelter the interval is included in the solution.
(-∞,A]
[A,B]
[B,∞)
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The expression is 0 when x = 4 and when x = 9.
So A and B in the problem are 4 and 9.
The graph is an upward opening parabola; so it is positive on (-infinity, 4) and on (9,infinity) and negative on (4,9).
Since the square root of a negative is not real, the domain of the function is where the quadratic expression is 0 or positive.
(-infinity, 4]: yes, part of the domain
(4,9): no, not part of the domain
[9,infinity): yes, part of the domain
A graph, showing that the interval (4,9) is not part of the domain:
RELATED QUESTIONS
Find the domain of the logarithmic function.
f(x) = log 8 (x + 1)
a. (-1, ∞)... (answered by oscargut)
9)Find the domain of the function.
f(x)=|x-3|
Is it:
A. [0,∞)
B.... (answered by Fombitz)
Question:
The function f(x) is defined as f(x)= -4(x+2)squared-4. Which of the... (answered by Fombitz)
State the domain of the given function.
f(x) = sqrt-x-2
possible answers... (answered by jsmallt9)
/-------
Find the domain of f (x) = 7 + /3x + 21 , and... (answered by Nate)
What is the domain of the function f(x)=√(x-2)+3
(1) (-∞,∞)
(2)... (answered by jim_thompson5910)
consider the function f(x)= (1-x^2)/(1+x^2)^2
Over which intervals is f(x) increasing? (answered by robertb)
find the range of the function.
h(x)=x^2/1-x^2
a.
[5, ∞ )
b.
(- ∞,... (answered by lwsshak3)
I've been given the following question and really need your help:
Given... (answered by ikleyn)