What is the domain of f(x)=-((1))/(2sqrt(7)-x) ?

The domain of f(x)=-((1))/(2sqrt(7)-x) is x 2sqrt(7)

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domain of f(x)=-((1))/(2sqrt(7)-x)

domain

f (x) = - \frac{( 1 )}{2 7 - x}

x < 27 or x > 27

Interval Notation

(- \infty, 27) \cup (27, \infty)

Solution steps

Find undefined (singularity) points:

x = 27

The function domain

x < 27 or x > 27

x + 8 - x

x^{2} - 1

f (x) = \frac{x}{x ^{2} - 16}

\frac{1}{x - 3}

f (x) = 7 - \frac{8}{9} x

What is the domain of f(x)=-((1))/(2sqrt(7)-x) ?
The domain of f(x)=-((1))/(2sqrt(7)-x) is x<2sqrt(7)\lor x>2sqrt(7)