SOLUTION: Find the domain and range of the following functions. Express your answer in interval notation. a) sqrt(x**2-3) meaning the square root of x squared minus three b)2/x**2-5x+6
Algebra.Com
Question 108978: Find the domain and range of the following functions. Express your answer in interval notation. a) sqrt(x**2-3) meaning the square root of x squared minus three b)2/x**2-5x+6 meaning two over x squared minus five x plus six
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the domain and range of the following functions. Express your answer in interval notation.
a) sqrt(x**2-3)
Domain:
Solve, x^2-3>=0
x^2 >= 3
x>=sqrt3 U x<=-sqrt3
Interval notation: (-inf,-sqrt(3))U(sqrt3,+inf)
--------------------------
Range:
Square roots are >=0 so the range is (0,+inf)
=================================
b) two over x squared minus five x plus six
f(x) = (2/x^2-5x+6)
Domain:
Solve x^2-5x+6 = 0
(x-3)(x-2)=0
x = 3 or x=2
Domain is "All Real Numbers except x = 2 and x=3.
------------------
Range:
(0,+inf)U(-inf,-8/11]
=================
Cheers,
Stan H.
RELATED QUESTIONS
Determine the domain of the following functions. Use interval notation to express your... (answered by fractalier)
Consider the following relation.
x=−4|y|+3
Find the domain and range of the... (answered by MathLover1)
Find the domain of each of the following functions.
Then express your answer in interval (answered by solver91311)
Find the domain and range of \sqrt{x} + 9
Write the answer in interval... (answered by lwsshak3)
Find the domain of the following functions. Write the answer in interval notation.
a)... (answered by Boreal)
Find the domain of the following functions. Write your answer in interval notation.
f(x) (answered by solver91311)
find the domain and range of each function. write your answer in interval notation. F(x)= (answered by lwsshak3)
Find the domain of the following function. Give your answer in interval notation.... (answered by ikleyn)
Find the domain of the following function and express in interval notation
X+7... (answered by Fombitz)