What is the domain of f(x)= 1/(3x+7) ?

The domain of f(x)= 1/(3x+7) is x -7/3

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domain of f(x)= 1/(3x+7)

domain

f (x) = \frac{1}{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) = 3^{x - 4}

f (x) = 3^{x + 5}

f (x) = \frac{1 + 5 x}{6 - 6 x}

f (x) = (x - 1) 2

x + 3 y = 4

What is the domain of f(x)= 1/(3x+7) ?
The domain of f(x)= 1/(3x+7) is x<-7/3 \lor x>-7/3