Given the equation: f(x) =1/sqrt(x-3)
We need to find the domain of f(x).
We know that the domain is all x values such that f(x) is defined.
Since f(x) is a quotient, then the denominator can not be zero.
Also, we notice that the denominator is a square root.
Then (x-3) must be positive values.
==> sqrt(x-3) > 0
==> x-3 > 0
==> x > 3
Then the domain is x = ( 3, inf)
We’ll help your grades soar
Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.
- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support
Already a member? Log in here.
Are you a teacher? Sign up now