What is the domain of f(x)= 1/(3x+4) ?

The domain of f(x)= 1/(3x+4) is x -4/3

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domain of f(x)= 1/(3x+4)

domain

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

x < - \frac{4}{3} or x > - \frac{4}{3}

Interval Notation

(- \infty, - \frac{4}{3}) \cup (- \frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{3}

The function domain

x < - \frac{4}{3} or x > - \frac{4}{3}

f (x) = \frac{2 x - 3}{x ( x + 1 )}

f (x) = \frac{1}{3 x + 2}

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

y = 4^{x + 1}

- 5 x + 1

What is the domain of f(x)= 1/(3x+4) ?
The domain of f(x)= 1/(3x+4) is x<-4/3 \lor x>-4/3