What is the domain of f(x)= 1/(sqrt(8-x)) ?

The domain of f(x)= 1/(sqrt(8-x)) is x<8

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domain of f(x)= 1/(sqrt(8-x))

domain

f (x) = \frac{1}{8 - x}

x < 8

Interval Notation

(- \infty, 8)

Solution steps

Find non-negative values for radicals:

x \leq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x < 8

f (x) = \frac{x}{( x + 2 )}

(2, 0), (\frac{3}{2}, \frac{1}{2})

f (x) = (3 x + 5)^{3} - 6

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

2 cos (x)

What is the domain of f(x)= 1/(sqrt(8-x)) ?
The domain of f(x)= 1/(sqrt(8-x)) is x<8