What is the domain of f(x)=(-1)/(2sqrt(6-x)) ?

The domain of f(x)=(-1)/(2sqrt(6-x)) is x<6

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domain of f(x)=(-1)/(2sqrt(6-x))

domain

f (x) = \frac{- 1}{2 6 - x}

x < 6

Interval Notation

(- \infty, 6)

Solution steps

Find non-negative values for radicals:

x \leq 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

x < 6

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

(x - 7)^{2} + 8

6 x - 2

m = 7, (- 3, 4)

f (x) = 2 (x + 1)^{2}

What is the domain of f(x)=(-1)/(2sqrt(6-x)) ?
The domain of f(x)=(-1)/(2sqrt(6-x)) is x<6