The three commandments of domain finding (for most functions):
1. Thou shalt not divide by zero.
2. Thou shalt not take the square root of a negative number.
3. Thou shalt not take the logarithm of any non-positive number.
Which commandment is violated by this function, and where is it violated? Once you know that, you know the domain (i.e. everywhere where the commandment is NOT violated).
Imma junior too! 2012 the entire wayyy(: I college on Tuesday the 17th already :/ i'm taking: Chemistry Algebra 2 Spanish 4 fitness center(tennis/bowling/CPR/Softball) Jr English: American Lit. united stateshistory No honors education for me! i'm afraid of those lol. i'm excited for this three hundred and sixty 5 days tho(: intense college's been flying by employing!
Since you have sqroot(x), you cannot have negative values inside the sqroot. So whatever is inside, which is x in your case, cannot be negative. So your domain would be all positive values and 0
Answers & Comments
Verified answer
All positive reals and zero
Usually you can use all real numbers (positive, negative, rational, irrational) for the domain (the input value, x).
In this problem, the square root is the tricky part. You can't take the square root of negative numbers (generally), so they must be excluded.
Let me know if this answers it for you! Good luck!
The three commandments of domain finding (for most functions):
1. Thou shalt not divide by zero.
2. Thou shalt not take the square root of a negative number.
3. Thou shalt not take the logarithm of any non-positive number.
Which commandment is violated by this function, and where is it violated? Once you know that, you know the domain (i.e. everywhere where the commandment is NOT violated).
Imma junior too! 2012 the entire wayyy(: I college on Tuesday the 17th already :/ i'm taking: Chemistry Algebra 2 Spanish 4 fitness center(tennis/bowling/CPR/Softball) Jr English: American Lit. united stateshistory No honors education for me! i'm afraid of those lol. i'm excited for this three hundred and sixty 5 days tho(: intense college's been flying by employing!
Since you have sqroot(x), you cannot have negative values inside the sqroot. So whatever is inside, which is x in your case, cannot be negative. So your domain would be all positive values and 0