What is the domain of f(x)= 1/(sqrt(7-x)) ?

The domain of f(x)= 1/(sqrt(7-x)) is x<7

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domain of f(x)= 1/(sqrt(7-x))

domain

f (x) = \frac{1}{7 - x}

x < 7

Interval Notation

(- \infty, 7)

Solution steps

Find non-negative values for radicals:

x \leq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x < 7

f (x) = ln (- 4 + 4)

f (x) = 3 ∣ x ∣ - 4

\frac{- 2 x ^{2}}{( x - 1 ) ( x + 7 )}

f (x) = 3 + 16 - (x - 3)^{2}

f (x) = 3 x^{2} - 9 x + 8

What is the domain of f(x)= 1/(sqrt(7-x)) ?
The domain of f(x)= 1/(sqrt(7-x)) is x<7