Math Is Fun Forum

nycguitarguy

Member

Registered: 2024-02-24

Posts: 552

Domain of Rational Function

Find the domain of each rational function.

1. f(x) = x/(sqrt{x - 4})

2. h(z) = (sqrt{z + 3})/(z - 2)

How is this done?

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Domain of Rational Function

Find the domain of each rational function.

How is this done?

Rationals have denominators w/ variables in them
It can have division by zero
Find domain by finding zeroes; domain is everything else

1. f(x) = x/(sqrt{x - 4})

Root cant have negatives
Denominator cant have zero

2. h(z) = (sqrt{z + 3})/(z - 2)

Denominator cant be zero

nycguitarguy

Member

Registered: 2024-02-24

Posts: 552

Re: Domain of Rational Function

Find the domain of each rational function.

How is this done?

Rationals have denominators w/ variables in them
It can have division by zero
Find domain by finding zeroes; domain is everything else

1. f(x) = x/(sqrt{x - 4})

Root cant have negatives
Denominator cant have zero

2. h(z) = (sqrt{z + 3})/(z - 2)

Denominator cant be zero

That was easy enough. Cool.