Question

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

Answer 1

The denominator must be different by zero.

Therefore

`4x+2\\eq0\ \ \ |-2\\\\4x\\eq-2\ \ \ \ |:4\\\\x\\eq-0.5`

The domain of
`f(x)=(3x+1)/(4x+2)`

`D=\mathbb{R}-\{-0.5\}=(-\infty;\ -0.5)\ \cup\ (-0.5;\ \infty)`