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

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

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domain of (4x-1)/(2x+3)

domain

\frac{4 x - 1}{2 x + 3}

x < - \frac{3}{2} or x > - \frac{3}{2}

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{2}

The function domain

x < - \frac{3}{2} or x > - \frac{3}{2}

f (x) = x^{2} - 3 x - 28

f (x) = 2 x

y - 2 = - 5 (x + 1)

f (x) = 16 - x^{2} - x + 2

(5, - 3), (7, - 6)

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