What is the domain of f(x)=(3x-2)/(8x+24) ?

The domain of f(x)=(3x-2)/(8x+24) is x -3

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domain of f(x)=(3x-2)/(8x+24)

domain

f (x) = \frac{3 x - 2}{8 x + 24}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

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

arctan (\frac{1}{x})

χ^{3} - 4 χ

f (x) = sin (ln (x))

f (x) = \frac{6 x - 1}{x ^{2} + 1}

What is the domain of f(x)=(3x-2)/(8x+24) ?
The domain of f(x)=(3x-2)/(8x+24) is x<-3\lor x>-3