What is the domain of (7-10x)/(3x+10) ?

The domain of (7-10x)/(3x+10) is x -10/3

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domain of (7-10x)/(3x+10)

domain

\frac{7 - 10 x}{3 x + 10}

x < - \frac{10}{3} or x > - \frac{10}{3}

Interval Notation

(- \infty, - \frac{10}{3}) \cup (- \frac{10}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{10}{3}

The function domain

x < - \frac{10}{3} or x > - \frac{10}{3}

f (x) = x^{3} - 75 x

f (x) = 4 x^{3} - 5

f (x) = \frac{2 x}{3} - 17

f (x) = \frac{4 x ^{2} - 3}{5 x + 7}

f (x) = \frac{x ^{2} - 2 x + 1}{x ( x + 1 ) - 12}

What is the domain of (7-10x)/(3x+10) ?
The domain of (7-10x)/(3x+10) is x<-10/3 \lor x>-10/3