What is the domain of f(x)= 1/((x+4)sqrt(x+6)) ?

The domain of f(x)= 1/((x+4)sqrt(x+6)) is -6 -4

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domain of f(x)= 1/((x+4)sqrt(x+6))

domain

f (x) = \frac{1}{( x + 4 ) x + 6}

- 6 < x < - 4 or x > - 4

Interval Notation

(- 6, - 4) \cup (- 4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = - 4, x = - 6

Combine real regions and undefined points for final function domain

- 6 < x < - 4 or x > - 4

f (x) = \frac{x - 7}{x - 5}

f (x) = x + 1 - x

g (x) = ln (3 x + 1)

lo g_{b} (x - 3)

\frac{lo g _{10} ( x - 4 )}{16 - 2 x}

What is the domain of f(x)= 1/((x+4)sqrt(x+6)) ?
The domain of f(x)= 1/((x+4)sqrt(x+6)) is -6<x<-4\lor x>-4