What is the domain of y=(5x-2)/(3+2x) ?

The domain of y=(5x-2)/(3+2x) is x -3/2

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domain of y=(5x-2)/(3+2x)

domain

y = \frac{5 x - 2}{3 + 2 x}

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}

e^{x} cos (x)

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

(x - 4) (2 x + 5)^{2} (x - 7)

f (x) = \frac{6}{x - 5}

- 3 tan (3 x + π) + 2

What is the domain of y=(5x-2)/(3+2x) ?
The domain of y=(5x-2)/(3+2x) is x<-3/2 \lor x>-3/2