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29-08-2018
Mathematics

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f(x)=3x+1/4x+2
find the domain

Respuesta :

29-08-2018

The denominator must be different by zero.

Therefore

[tex]4x+2\neq0\ \ \ |-2\\\\4x\neq-2\ \ \ \ |:4\\\\x\neq-0.5[/tex]

The domain of [tex]f(x)=\dfrac{3x+1}{4x+2}[/tex]

[tex]D=\mathbb{R}-\{-0.5\}=(-\infty;\ -0.5)\ \cup\ (-0.5;\ \infty)[/tex]

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