What is the domain of y=(x-4)(sqrt(x+5)) ?

The domain of y=(x-4)(sqrt(x+5)) is x>=-5

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domain of y=(x-4)(sqrt(x+5))

domain

y = (x - 4) (x + 5)

x \geq - 5

Interval Notation

[- 5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

The function domain

x \geq - 5

f (x) = \frac{x ^{3} + 2}{x ^{4} + 1}

f (x) = \frac{x}{( x + 3 ) ( x - 3 )}

f (x) = \frac{1}{x + 7}

f (x) = x (x - 4)

x^{4} - 4 x^{3} + 2

What is the domain of y=(x-4)(sqrt(x+5)) ?
The domain of y=(x-4)(sqrt(x+5)) is x>=-5