What is the domain of f(x)= 5/(sqrt(1-x^2)) ?

The domain of f(x)= 5/(sqrt(1-x^2)) is -1<x<1

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domain of f(x)= 5/(sqrt(1-x^2))

domain

f (x) = \frac{5}{1 - x ^{2}}

- 1 < x < 1

Interval Notation

(- 1, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 1 < x < 1

y = ln (x - 3)^{2}

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

(- x)^{2}

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

f (x) = 2 x + y = 5

What is the domain of f(x)= 5/(sqrt(1-x^2)) ?
The domain of f(x)= 5/(sqrt(1-x^2)) is -1<x<1