What is the domain of f(x)=(2x+3)/(4x-7) ?

The domain of f(x)=(2x+3)/(4x-7) is x 7/4

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domain of f(x)=(2x+3)/(4x-7)

domain

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

- 4 x^{2} - 20 x - 21

g (x) = x - 4

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

f (x) = 1 - ln (3 x)

What is the domain of f(x)=(2x+3)/(4x-7) ?
The domain of f(x)=(2x+3)/(4x-7) is x< 7/4 \lor x> 7/4