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

The domain of f(x)=(sqrt(x+2))/(x-1) is -2 1

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

domain

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

- 2 \leq x < 1 or x > 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 2 \leq x < 1 or x > 1

f (x) = x^{2}

f (x) = ln (x - 7)

f (x) = \frac{6 x - 15}{x + 2}

h (t) = - 490 t^{2} + 75 t + 12

f (x) = \frac{26}{x ^{2} + 12}

What is the domain of f(x)=(sqrt(x+2))/(x-1) ?
The domain of f(x)=(sqrt(x+2))/(x-1) is -2<= x<1\lor x>1