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

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

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

domain

f (x) = \frac{x}{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 (β) = 1 + csc (β)

f (x) = - x^{12}

\frac{50 x}{x ^{2} + 25}

f (x) = \frac{7}{x}

2 x^{5} + 5 x^{4} - 17

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