find the domain of f(x) = 1/sqrt(x-3)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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)

Approved by eNotes Editorial Team
Soaring plane image

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
Start your 48-Hour Free Trial