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

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

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

domain

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

x < 7

Interval Notation

(- \infty, 7)

Solution steps

Find non-negative values for radicals:

x \leq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x < 7

\frac{x ^{2} - 5 x - 6}{x + 1}

f (x) = \frac{1}{2} x^{2} + 4 x + 1

y = \frac{e ^{x}}{1 + 5 e ^{x}}

2 sin (\frac{x - π}{3})

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

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