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

f (x) = \frac{1}{x - 3} + 1

f (x) = 6 x - 9

f (x) = e^{x}

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

(- 1.7) (0.8)

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