What is the domain of f(x)=(-4)/(sqrt(x+20)-1) ?

The domain of f(x)=(-4)/(sqrt(x+20)-1) is -20 -19

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domain of f(x)=(-4)/(sqrt(x+20)-1)

domain

f (x) = \frac{- 4}{x + 20 - 1}

- 20 \leq x < - 19 or x > - 19

Interval Notation

[- 20, - 19) \cup (- 19, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 20

Find undefined (singularity) points:

x = - 19

Combine real regions and undefined points for final function domain

- 20 \leq x < - 19 or x > - 19

y = \frac{2}{3} x + 4

f (x) = 6 x - 4

y = \frac{3 x - 15}{x ^{3} + 4 x ^{2} + 8 x}

f (x) = \frac{2 x - 3}{4 x ^{2} + 3 x - 1}

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

What is the domain of f(x)=(-4)/(sqrt(x+20)-1) ?
The domain of f(x)=(-4)/(sqrt(x+20)-1) is -20<= x<-19\lor x>-19