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}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

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

(- 1, 2), (2, - 4)

4 x^{2} - 3 x

f (x) = x^{4} - 1

y = 2 x - 7

(- 7, \frac{9}{14}), (7, \frac{9}{14})

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