What is the domain of f(x)=(sqrt(x-2))/(x^2-2x-35) ?

The domain of f(x)=(sqrt(x-2))/(x^2-2x-35) is 2 7

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domain of f(x)=(sqrt(x-2))/(x^2-2x-35)

domain

f (x) = \frac{x - 2}{x ^{2} - 2 x - 35}

2 \leq x < 7 or x > 7

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 7, x = - 5

Combine real regions and undefined points for final function domain

2 \leq x < 7 or x > 7

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

\frac{1}{x - 2}

f (x) = \frac{x ( x + 7 )}{x ^{2} + 5 x + 6}

f (x) = 5 + (ln (x^{2} - 4))^{2}

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

What is the domain of f(x)=(sqrt(x-2))/(x^2-2x-35) ?
The domain of f(x)=(sqrt(x-2))/(x^2-2x-35) is 2<= x<7\lor x>7