What is the domain of (187+6z-z^2)/(z^2-21z+68) ?

The domain of (187+6z-z^2)/(z^2-21z+68) is z 17

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domain of (187+6z-z^2)/(z^2-21z+68)

domain

\frac{187 + 6 z - z ^{2}}{z ^{2} - 21 z + 68}

z < 4 or 4 < z < 17 or z > 17

Interval Notation

(- \infty, 4) \cup (4, 17) \cup (17, \infty)

Solution steps

Find undefined (singularity) points:

z = 17, z = 4

The function domain

z < 4 or 4 < z < 17 or z > 17

f (x) = - x + 3

\frac{3 x - 12}{x ^{2} - 8 x + 16}

f (x) = x + 1 + \frac{1}{x}

f (x) = \frac{4 x ^{2} - 9}{6 x - 9}

3 x - 8 y = 3

What is the domain of (187+6z-z^2)/(z^2-21z+68) ?
The domain of (187+6z-z^2)/(z^2-21z+68) is z<4\lor 4<z<17\lor z>17