What is the domain of f(x)=(2x)/(3x+8) ?

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

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domain of f(x)=(2x)/(3x+8)

domain

f (x) = \frac{2 x}{3 x + 8}

x < - \frac{8}{3} or x > - \frac{8}{3}

Interval Notation

(- \infty, - \frac{8}{3}) \cup (- \frac{8}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{8}{3}

The function domain

x < - \frac{8}{3} or x > - \frac{8}{3}

f (x) = ln (x^{2} - 25)

f (x) = 4

\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}

\frac{5 x}{3} + 12

f (x) = e^{x} + 4

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