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

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

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domain of (5x)/(3+2x)

domain

\frac{5 x}{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}

y = 1.5 sin (4 x)

f (x) = \frac{6}{x + 8}

1 - e^{- 6 t} - 2.31 t

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

f (x) = 0.2 x + 45

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