What is the domain of f(x)=((4x+7))/(xsqrt(x+9)) ?

The domain of f(x)=((4x+7))/(xsqrt(x+9)) is -9 0

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domain of f(x)=((4x+7))/(xsqrt(x+9))

domain

f (x) = \frac{( 4 x + 7 )}{x x + 9}

- 9 < x < 0 or x > 0

Interval Notation

(- 9, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 9

Find undefined (singularity) points:

x = 0, x = - 9

Combine real regions and undefined points for final function domain

- 9 < x < 0 or x > 0

f (x) = \frac{x ^{7}}{3} + 3

f (x) = \frac{x ^{2} - 4}{3 x ^{2}}

f (x) = 2 x - 10

(\frac{2}{5}, 5), (2, - 1)

f (x) = 2.5 + \frac{5000}{x}

What is the domain of f(x)=((4x+7))/(xsqrt(x+9)) ?
The domain of f(x)=((4x+7))/(xsqrt(x+9)) is -9<x<0\lor x>0