SOLUTION: Find the domain of the function
f(x) = sqrt of 4x-32
What is the domain in interval notation?
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Question 1163827: Find the domain of the function
f(x) = sqrt of 4x-32
What is the domain in interval notation?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you meant to say , then we want the stuff under the square root to be either 0 or positive. Taking the square root of a negative number leads to a non-real result.
Set the radicand to be greater than or equal to 0. Isolate x.
Adding 32 to both sides
Dividing both sides by 4
The domain is any number x such that . So x = 8 or x is larger than 8.
To write this in interval notation, we will say [8, infinity) where you'll replace the word "infinity" with the infinity symbol. This is the interval from 8 to infinity. We include 8 through the use of the square bracket. The curved parenthesis is always used with infinity because we can't reach infinity (its not a number).
Answer: [8, infinity)
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