What is the domain of ((1/(28-x)))/(sqrt(x+29)) ?

The domain of ((1/(28-x)))/(sqrt(x+29)) is -29 28

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domain of ((1/(28-x)))/(sqrt(x+29))

domain

\frac{( \frac{1}{28 - x} )}{x + 29}

- 29 < x < 28 or x > 28

Interval Notation

(- 29, 28) \cup (28, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 29

Find undefined (singularity) points:

x = - 29, x = 28

Combine real regions and undefined points for final function domain

- 29 < x < 28 or x > 28

y = \frac{5 x}{x ^{2} - 1}

f (x) = \frac{1}{16} (y - 1)^{2}

f (x) = \frac{900 x}{10 - 45 x}

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

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

What is the domain of ((1/(28-x)))/(sqrt(x+29)) ?
The domain of ((1/(28-x)))/(sqrt(x+29)) is -29<x<28\lor x>28