Find the domain of the function.  f(x)=1/(3x-12)

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Since the given function is a rational function,the domain is the set of all real numbers except for the value of x that will make the denominator equal to zero. This gives us

In other words, the domain is the set of all real numbers except 4. When written in...

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Since the given function is a rational function,the domain is the set of all real numbers except for the value of x that will make the denominator equal to zero. This gives us

In other words, the domain is the set of all real numbers except 4. When written in interval notation, the domain will be

`(-oo,4)uu(4,oo)`

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Find the domain of the function:

`f(x)=1/(3x-12)`

The function is undefined for x values such as:

`3x-12=0`

`3x=12`

`x=12/3=4`

Thus the domain of the function is (-`oo`,4) and (4,`oo`)

Approved by eNotes Editorial Team