What is the domain of f(x)= 1/((sqrt(1-x)+5)) ?

The domain of f(x)= 1/((sqrt(1-x)+5)) is x<= 1

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domain of f(x)= 1/((sqrt(1-x)+5))

domain

f (x) = \frac{1}{( 1 - x + 5 )}

x \leq 1

Interval Notation

(- \infty, 1]

Solution steps

Find non-negative values for radicals:

x \leq 1

The function domain

x \leq 1

\frac{- 1}{x - 2}

f (x) = \frac{3 x - 4}{x ^{2} - 3 x - 4}

f (x) = \frac{1}{2} sin (3 x)

f (x) = t - 1

- \frac{8}{x}

What is the domain of f(x)= 1/((sqrt(1-x)+5)) ?
The domain of f(x)= 1/((sqrt(1-x)+5)) is x<= 1