What is the domain of f(x)=(5x-4)/(9x+8) ?

The domain of f(x)=(5x-4)/(9x+8) is x -8/9

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domain of f(x)=(5x-4)/(9x+8)

domain

f (x) = \frac{5 x - 4}{9 x + 8}

x < - \frac{8}{9} or x > - \frac{8}{9}

Interval Notation

(- \infty, - \frac{8}{9}) \cup (- \frac{8}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{8}{9}

The function domain

x < - \frac{8}{9} or x > - \frac{8}{9}

f (x) = 55 x - \frac{4 x ^{2}}{3}

3 \cdot x - 4

f (x) = - 2 x^{3} + 8 x + 3

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

f (x) = x^{2} - 9, x \geq 3

What is the domain of f(x)=(5x-4)/(9x+8) ?
The domain of f(x)=(5x-4)/(9x+8) is x<-8/9 \lor x>-8/9