What is the domain of f(x)=(x^2)/(4x-7) ?

The domain of f(x)=(x^2)/(4x-7) is x 7/4

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domain of f(x)=(x^2)/(4x-7)

domain

f (x) = \frac{x ^{2}}{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}

- 2 x - 4

\frac{2}{x} + \frac{x}{x + 2}

f (x) = x + 2 sin (x)

f (x) = \frac{( x - 1 ) ^{\frac{2}{3}}}{x + 2}

\frac{2 x - 3}{x - 2}

What is the domain of f(x)=(x^2)/(4x-7) ?
The domain of f(x)=(x^2)/(4x-7) is x< 7/4 \lor x> 7/4