What is the domain of (5x-8)/(2x+3) ?

The domain of (5x-8)/(2x+3) is x -3/2

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domain of (5x-8)/(2x+3)

domain

\frac{5 x - 8}{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}

h (x) = \frac{( x - 2 )}{( 3 x + 4 )}

x^{2} - 100

f (x) = \frac{- 4}{x} + 1

\frac{3}{x - 2} + 4

f (x) = \frac{3 x - 2}{x ^{2} - 4}

What is the domain of (5x-8)/(2x+3) ?
The domain of (5x-8)/(2x+3) is x<-3/2 \lor x>-3/2