What is the domain of (10x+7)/(3-8x) ?

The domain of (10x+7)/(3-8x) is x 3/8

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domain of (10x+7)/(3-8x)

domain

\frac{10 x + 7}{3 - 8 x}

x < \frac{3}{8} or x > \frac{3}{8}

Interval Notation

(- \infty, \frac{3}{8}) \cup (\frac{3}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{8}

The function domain

x < \frac{3}{8} or x > \frac{3}{8}

\frac{( x + 4 )}{( 3 x - 4 )}

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

f (x) = \frac{x ^{2} - 7}{x ^{2} + 3 x - 4}

f (x) = \frac{x - 8}{x ^{2} - 49}

f (x) = \frac{3 x + 9}{x ^{2} + x - 12}

What is the domain of (10x+7)/(3-8x) ?
The domain of (10x+7)/(3-8x) is x< 3/8 \lor x> 3/8