What is the domain of f(x)=(3x)/(4x-7) ?

The domain of f(x)=(3x)/(4x-7) is x 7/4

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domain of f(x)=(3x)/(4x-7)

domain

f (x) = \frac{3 x}{4 x - 7}

x < \frac{7}{4} or x > \frac{7}{4}

Interval Notation

(- \infty, \frac{7}{4}) \cup (\frac{7}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{4}

The function domain

x < \frac{7}{4} or x > \frac{7}{4}

f (x) = x - 3 + 2 x

f (x) = \frac{3 x}{4 x - 9}

f (x) = - ∣ x - 3 ∣ - 2

f (x) = t - 3

\frac{x ^{2} - 4 x + 4}{x ^{2} - 4}

What is the domain of f(x)=(3x)/(4x-7) ?
The domain of f(x)=(3x)/(4x-7) is x< 7/4 \lor x> 7/4