What is the domain of (-3x+14)/(8x-19) ?

The domain of (-3x+14)/(8x-19) is x 19/8

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domain of (-3x+14)/(8x-19)

domain

\frac{- 3 x + 14}{8 x - 19}

x < \frac{19}{8} or x > \frac{19}{8}

Interval Notation

(- \infty, \frac{19}{8}) \cup (\frac{19}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{19}{8}

The function domain

x < \frac{19}{8} or x > \frac{19}{8}

f (x) = 3 + cos (2 t)

\frac{sin ( x )}{x ^{2}}

+ x^{2} - 7

x e^{- 2 x}

x^{3} - 6 x^{2} + 8 x

What is the domain of (-3x+14)/(8x-19) ?
The domain of (-3x+14)/(8x-19) is x< 19/8 \lor x> 19/8