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#1 2024-03-07 10:21:14

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 831

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?


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

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#2 2024-03-07 16:05:26

amnkb
Member
Registered: 2023-09-19
Posts: 253

Re: Domain of Rational Function

FelizNYC wrote:

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

FelizNYC wrote:

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

Root cant have negatives
Denominator cant have zero

FelizNYC wrote:

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

Denominator cant be zero

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#3 2024-03-07 19:04:57

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 831

Re: Domain of Rational Function

amnkb wrote:
FelizNYC wrote:

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

FelizNYC wrote:

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

Root cant have negatives
Denominator cant have zero

FelizNYC wrote:

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

Denominator cant be zero


That was easy enough. Cool.


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Online

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