What is the domain of f(x)=(10x+7)/(7x-4) ?

The domain of f(x)=(10x+7)/(7x-4) is x 4/7

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domain of f(x)=(10x+7)/(7x-4)

domain

f (x) = \frac{10 x + 7}{7 x - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = \frac{4}{7}

The function domain

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

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

(- 1, 8), (4, - 2)

2 csc (\frac{1}{3} (x - 1)) - 2

f (x) = \frac{3 x - 15}{x ^{2} - 25}

f (x) = x^{2} + 5 x

What is the domain of f(x)=(10x+7)/(7x-4) ?
The domain of f(x)=(10x+7)/(7x-4) is x< 4/7 \lor x> 4/7