What is the domain of f(x)=(x-2)/(3x+7) ?

The domain of f(x)=(x-2)/(3x+7) is x -7/3

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domain of f(x)=(x-2)/(3x+7)

domain

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

x < - \frac{7}{3} or x > - \frac{7}{3}

Interval Notation

(- \infty, - \frac{7}{3}) \cup (- \frac{7}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{7}{3}

The function domain

x < - \frac{7}{3} or x > - \frac{7}{3}

f (x) = 2 (x + 5)^{\frac{1}{2}}

\frac{2 x + 7}{3 x - 17}

(4.1) (- 2.5)

(x^{2} - 6 x)^{2} - 6 (x^{2} - 6 x)

f (x) = 4 x^{3} - 6 x^{2} - 72 x

What is the domain of f(x)=(x-2)/(3x+7) ?
The domain of f(x)=(x-2)/(3x+7) is x<-7/3 \lor x>-7/3