what is the domain of this function

^{ }√2x^{2}-1what is the domain of this function^{ }√2x^{2}-1

Tutors, please sign in to answer this question.

Scottsdale, AZ

Do you mean f(x) = √(2x^{2}-1)?

If yes, then the domain requires that 2x^{2}-1 ≥ 0. Solving the inequality gives the domain [-1/√2, 1/√2]

East Aurora, NY

So the domain is a set of all possible inputs, and the range is a set of all possible outputs.

To determine if your inputs are limited try to find a value of x which would result in an undefined value.

Is your function f(x) = sqr(2x^{2}-1) or f(x) = sqr(2x^{2}) - 1 ? because it can make a significant difference.

If we assume we are only dealing with real numbers, then an expression which would give you the square root of a negative number would be undefined, and
**the value of x which causes this would not be in the domain.**

Remember not to restrict your thinking about the values of x to be only integers. Think of the consequences of fractional values as well.

Consider all the values of the domain and which values of f(x) you could get. That would define your range.

Noah C.

An Expert, Passionate SAT Instructor

New York, NY

5.0
(67 ratings)

Edward B.

STAT/MATH/Actuarial Science/MBA/Econ/Fin. - Ivy League Exp & Prof

New York, NY

4.9
(294 ratings)

Avital S.

Patient tutor, for all ages, helps when your learning is blocked

Westwood, NJ

5.0
(479 ratings)

- Functions 500
- Algebra 2 2685
- Domain 78
- Domain And Range 75
- Math Help 3963
- Algebra 3736
- Range 32
- Algebra 1 3023
- Domain/range 3
- Math 6728

Find a tutor fast. Get the app.

Are you a tutor? Get the app for tutors

© 2005 - 2016 WyzAnt, Inc. - All Rights Reserved