What is the domain of 1/(4-sqrt(1-x)) ?

The domain of 1/(4-sqrt(1-x)) is x<-15\lor-15<x<= 1

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domain of 1/(4-sqrt(1-x))

domain

\frac{1}{4 - 1 - x}

x < - 15 or - 15 < x \leq 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = - 15

Combine real regions and undefined points for final function domain

x < - 15 or - 15 < x \leq 1

f (x) = \frac{- x ^{3} + 5 x}{x ^{2} + 3}

f (x) = ln (- 1 ∣ x ∣)

f (x) = ln (3 - t)

f (x) = \frac{3 x + 1}{2 x - 8}

y = 5 tan (x)

What is the domain of 1/(4-sqrt(1-x)) ?
The domain of 1/(4-sqrt(1-x)) is x<-15\lor-15<x<= 1