What is the domain of f(x)=(-1)/(2sqrt(5-x)) ?

The domain of f(x)=(-1)/(2sqrt(5-x)) is x<5

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domain of f(x)=(-1)/(2sqrt(5-x))

domain

f (x) = \frac{- 1}{2 5 - x}

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

x^{4} - 34 x^{2} - 72

(- 4, 5), (- 7, 7)

f (x) = ln (x^{2} - 6 x + 9)

f (x) = - x + 8

x^{2} + 5 x

What is the domain of f(x)=(-1)/(2sqrt(5-x)) ?
The domain of f(x)=(-1)/(2sqrt(5-x)) is x<5