What is the domain of f(x)=(7z+6)/(z-7)+(7z+3)/(z-7) ?

The domain of f(x)=(7z+6)/(z-7)+(7z+3)/(z-7) is z 7

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domain of f(x)=(7z+6)/(z-7)+(7z+3)/(z-7)

domain

f (x) = \frac{7 z + 6}{z - 7} + \frac{7 z + 3}{z - 7}

z < 7 or z > 7

Interval Notation

(- \infty, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

z = 7

The function domain

z < 7 or z > 7

f (x) = (x - 2)^{2} + 3

f (x) = \frac{- 5 x}{- 2 x - 3}

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

(3, 4), (5, 8)

f (x) = \frac{x - 1}{x ^{2} - 1}

What is the domain of f(x)=(7z+6)/(z-7)+(7z+3)/(z-7) ?
The domain of f(x)=(7z+6)/(z-7)+(7z+3)/(z-7) is z<7\lor z>7