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

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

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domain of g(x)=(x-2)/(2x+3)

domain

g (x) = \frac{x - 2}{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 - 3, x \leq - 1}

f (x) = \frac{1}{2 x + 5}

f (x) = 4 + x + 1

f (x) = \frac{( x - 6 ) ( x - 4 )}{x + 4}

f (x) = (x - 3) e^{x} + 3

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