What is the domain of 1/(sqrt(14-5x-x^2)) ?

The domain of 1/(sqrt(14-5x-x^2)) is -7<x<2

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domain of 1/(sqrt(14-5x-x^2))

domain

\frac{1}{14 - 5 x - x ^{2}}

- 7 < x < 2

Interval Notation

(- 7, 2)

Solution steps

Find non-negative values for radicals:

- 7 \leq x \leq 2

Find undefined (singularity) points:

x = - 7, x = 2

Combine real regions and undefined points for final function domain

- 7 < x < 2

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

\frac{1}{2} e^{- x} - 1

\frac{x ^{2} + 5 x + 6}{x ^{2} - 9}

f (x) = lo g_{10} (x^{2} + 2 x - 3)

ln (- 3 x + 1)

What is the domain of 1/(sqrt(14-5x-x^2)) ?
The domain of 1/(sqrt(14-5x-x^2)) is -7<x<2