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

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

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

domain

f (x) = \frac{3 x - 5}{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) = 3 x^{4} - 24 x^{2} + 18

f (x) = \frac{5 - 2 x}{6 x + 3}

f (x) = - x + 2

\frac{t}{t - 3} + 4

f (x) = \frac{x + 7}{3}

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