What is the domain of (sqrt(x+27))/(1/(26-x)) ?

The domain of (sqrt(x+27))/(1/(26-x)) is -27 26

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domain of (sqrt(x+27))/(1/(26-x))

domain

\frac{x + 27}{\frac{1}{26 - x}}

- 27 \leq x < 26 or x > 26

Interval Notation

[- 27, 26) \cup (26, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 27

Find undefined (singularity) points:

x = 26

Combine real regions and undefined points for final function domain

- 27 \leq x < 26 or x > 26

x - x^{2}

\frac{x - 6}{x ^{2}}

\frac{9 x}{x ^{2} + 1} + x

\frac{2 x + 5}{x ^{2} - 4 x - 5}

\frac{θ}{2}

What is the domain of (sqrt(x+27))/(1/(26-x)) ?
The domain of (sqrt(x+27))/(1/(26-x)) is -27<= x<26\lor x>26