Domain and Range

• September 15th 2009, 01:43 PM
goliath
Domain and Range
Hey guys, I need help with another question:

$f(x) = \sqrt{3 - |x+5|}$

a) What is the domain of f ?
b) What is the range of f if the domain of f is (-7, -3)?
c) If the domain of f is {-7, -3}. Give an example of a function g whose domain is
also {-7, -3} and equals the function f.

THANKS!(Happy)
• September 15th 2009, 09:09 PM
mr fantastic
Quote:

Originally Posted by goliath
Hey guys, I need help with another question:

$f(x) = \sqrt{3 - |x+5|}$

a) What is the domain of f ?
b) What is the range of f if the domain of f is (-7, -3)?
c) If the domain of f is {-7, -3}. Give an example of a function g whose domain is
also {-7, -3} and equals the function f.

THANKS!(Happy)

a) Solve $3 - |x+5| \geq 0$ (I suggest that drawing a graph of $y = 3 - |x+5|$ will help).