|
Question 123817This question is from textbook Precalculus Graphical, Numerical, Algebriac
: Can you please help me answer this question from my textbook?
The domain of the function f/g for f(x)=square root (x-2) and g(x)=square root (x+4) is
Answer options:
A. x undifined -4
B. x undifined 4
C. [2,positive infinity)
D. [-4,positive infinity)
The symbol for undifined is an = with a / through it. The symbol for infinity looks like an 8 sideways.
Hope you can help me, thank you.
This question is from textbook Precalculus Graphical, Numerical, Algebriac
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The domain of the function f/g for f(x)=square root (x-2) and g(x)=square root (x+4) is:
------------
f/g = [sqrt(x-2)]/[sqrt(x+4)]
Domain is restricted:
Denominator requires x+4>0 implies that x>-4
Numerator requires x-2 >= 0 implies x >= 2
----------------------------------------
Since both conditions must be met x must be >=2 is the domain.
=============================
Cheers,
Stan H.
|
|
|
| |
