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

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

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

domain

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

x < 2

Interval Notation

(- \infty, 2)

Solution steps

Find non-negative values for radicals:

x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < 2

f (x) = 4 x + 7 + 5

f (x) = 2 x^{4} + 8 x^{3} + 5 x^{2}

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

\frac{3}{7 + x}

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