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}

y = \frac{x ^{3} + 2}{x + 1}

f (x) = - 9 x (x - 5) (x - 6)

f (x) = 3 + lo g_{2} (x - 1)

f (x) = lo g_{3} (x + 1) - 4

2 ln (3 - x) - 4

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