SOLUTION: Find the domain and range of A): 1/(√(3-2x-x^2)) B): 1/(√(x^2+2x+3))

Algebra.Com
Question 1177051: Find the domain and range of A): 1/(√(3-2x-x^2))
B): 1/(√(x^2+2x+3))
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Find the domain and range of
A):

domain: exclude all values of x that make denominator equal to zero
...will be if




solutions:


domain is: { element : }
range:
to find the range of a rational function use the derivative
=> if numerator equal to zero then
plug in your function and find

so range is { element : }


B):
-> as you can see, no matter what value is , denominator cannot be equal to zero
domain: (all real numbers)
range:
=>if numerator equal to zero then
->

so, range is: { element : }

RELATED QUESTIONS

Find the domain and range of the function f(x) = (ln(1 - x^2))/√(2x^2 + x -... (answered by robertb)
, find the Domain and the Range of the following funcions. a. f(x) = 2/(5x +6) (answered by MathLover1)
what is the domain and range of 3y(x-2)(x-1)=4(2x-3)? (answered by ewatrrr)
f(x)=3x(x-1)/2x^2-5x-3 Find the domain and range of the... (answered by Boreal)
g(x)= x^4 - 3x^3 +2x^2 + x - 1 what is the domain and... (answered by jsmallt9)
Find the domain, range, and intercepts of the following function:... (answered by solver91311)
Given : f(x)=2x^2+2 1. Find the domain of f(x). 2. Find the range of... (answered by josgarithmetic)
Find the range:
y = 2x + 3    use {0, 1, 2, 3} as the... (answered by AnlytcPhil)

Quadratic Function

Find the a: vertex
         b: domain
         c: range 
of f(x)  (answered by stanbon,solver91311)