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

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

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

domain

f (x) = \frac{1}{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) = \frac{x ^{2}}{x ^{2} + x - 90}

f (x) = \frac{6}{( x - 9 )}

f (x) = 8 sin (2 x)

\frac{e ^{x}}{3 + e ^{x}}

x - 1 1 - x

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