What is the domain of f(x)=sqrt((x^2-25)/(x-5)) ?

The domain of f(x)=sqrt((x^2-25)/(x-5)) is -5 5

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domain of f(x)=sqrt((x^2-25)/(x-5))

domain

f (x) = \frac{x ^{2} - 25}{x - 5}

- 5 \leq x < 5 or x > 5

Interval Notation

Solution steps

Find non-negative values for radicals:

- 5 \leq x < 5 or x > 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 5 \leq x < 5 or x > 5

f (x) = e^{s i n (x)} ln (x)

ln (x^{2} + 3) + \frac{4}{x ^{2} + 3}

x^{4} - 6 x^{2}

lo g_{7} (x)

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

What is the domain of f(x)=sqrt((x^2-25)/(x-5)) ?
The domain of f(x)=sqrt((x^2-25)/(x-5)) is -5<= x<5\lor x>5