SOLUTION: Find the domain of the function: f(x)= square root of (2x-8) ...then write your solution in interval notation

Question 103625: Find the domain of the function: f(x)= square root of (2x-8)
...then write your solution in interval notation
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Remember you cannot take the square root of a negative value. So that means the argument must be greater than or equal to zero (i.e. the argument must be positive)

Set the inner expression greater than or equal to zero

Add 8 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

So that means x must be greater than or equal to 4
So here is the domain in interval notation: [4,)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the domain of the function: f(x)= square root of (2x-8)
--------------
2x-8 must be >= zero
--------
2x-8 >=0
2x >=8
x >= 4
--------
Domain is all Real Numbers greater than or equal to four.
[4,inf)
================
Cheers,
Stan H.
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