What is the domain of f(x)=((3x+1))/((4x+2)) ?

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

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

domain

f (x) = \frac{( 3 x + 1 )}{( 4 x + 2 )}

x < - \frac{1}{2} or x > - \frac{1}{2}

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

\frac{x + 1}{( x + 2 ) ^{2}}

x - 1 + 3

f (x) = 1 - x^{2}

(1, 2), (10, 5)

f (x) = \frac{2 - 3 x}{x + 4}

What is the domain of f(x)=((3x+1))/((4x+2)) ?
The domain of f(x)=((3x+1))/((4x+2)) is x<-1/2 \lor x>-1/2