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

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

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

domain

f (x) = \frac{x}{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}

in v erse f (x) = x - \frac{2}{3}

e x t re m e y = - x^{2} + 12 x - 16

in v erse - (x - 1)^{5}

e x t re m e y = (x + 1) (3 - x)

in v erse y = x - 2

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