What is the domain of f(x)=(5-2x)/(6x+3) ?

The domain of f(x)=(5-2x)/(6x+3) is x -1/2

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domain of f(x)=(5-2x)/(6x+3)

domain

f (x) = \frac{5 - 2 x}{6 x + 3}

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

f (x) = (x - 2)^{3} - 1

f (x) = - 4 - \frac{9}{2} x

2^{x} - 5

(5, - 3), (6, - 5)

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

What is the domain of f(x)=(5-2x)/(6x+3) ?
The domain of f(x)=(5-2x)/(6x+3) is x<-1/2 \lor x>-1/2