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Find the domain of the rational expression: x-5/3x-6

Sagot :

MrRoyalidn

Answer:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 5}{3x - 6}[/tex]

Required

The domain

Equate the denominator to 0

[tex]3x - 6 = 0[/tex]

Solve for x

[tex]3x = 6[/tex]

[tex]x = 2[/tex]

This means that the value of x cannot be 2 for the given function.

So, the domain is:

[tex]Domain= \{x<2\ or\ x>2\}[/tex]

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