MHB What is the Domain of 1/x and 1/[(x - 1)(x + 2)(x - 3)]?

[mathdad]

Specify the domain of each variable.

1. 1/x

Here x can be any number EXCEPT for 0.

Domain = {x|x CANNOT be 0}

2. 1/[(x - 1)(x + 2)( x - 3)]

Set each factor to 0 and solve for x individually.

x - 1 = 0

x = 1

x + 2 = 0

x = -2

x - 3 = 0

x = 3

Let D = domain

D = {x|x CANNOT be 1, -1, 3}

Correct?

 

[kaliprasad]

Specify the domain of each variable.

1. 1/x

Here x can be any number EXCEPT for 0.

Domain = {x|x CANNOT be 0}

2. 1/[(x - 1)(x + 2)( x - 3)]

Set each factor to 0 and solve for x individually.

x - 1 = 0

x = 1

x + 2 = 0

x = -2

x - 3 = 0

x = 3

Let D = domain

D = {x|x CANNOT be 1, -1, 3}

Correct?

right but there is a typo error D = $\{x|x\, cannot\, be \, be\, 1, -2, 3\}$

 

[mathdad]

Yes, I made a typo which is a very common mistake using the cell phone keyboard.