What is the domain of f(x)= x/(4x+9) ?

The domain of f(x)= x/(4x+9) is x -9/4

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domain of f(x)= x/(4x+9)

domain

f (x) = \frac{x}{4 x + 9}

x < - \frac{9}{4} or x > - \frac{9}{4}

Interval Notation

(- \infty, - \frac{9}{4}) \cup (- \frac{9}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{9}{4}

The function domain

x < - \frac{9}{4} or x > - \frac{9}{4}

(5, 2), (2, 4)

f (x) = x^{2} + 2 x - 15

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

(2, - 5), (4, 7)

(6.1) (- 2.5)

What is the domain of f(x)= x/(4x+9) ?
The domain of f(x)= x/(4x+9) is x<-9/4 \lor x>-9/4