|
Question 799045: Let the function f be defined by the equation
y = f(x),
where x and
f(x)
are real numbers. Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
(x)/(2x2 − 18x + 40)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the domain of the function. (Enter your answer using interval notation.)
f(x) =(x)/(2x2 - 18x + 40)
------
Domain ??
Solve: 2x^2 -18x +40 = 0
x^2 -9x + 20 = 0
(x-5)(x-4) = 0
x = 4 or x = 5
-----
Domain: (-oo,4)U(4,5)U(5,oo)
================================
Range ??
The horizontal asymptote is y = 0*x^2/2x^2 = 0/2 = 0
Range is (-00,0)U)(0,+00)
===========================
Cheers,
Stan H.
==================
|
|
|
| |
