What is the domain of f(x)=-3x+2+sqrt(x+5) ?

The domain of f(x)=-3x+2+sqrt(x+5) is x>=-5

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domain of f(x)=-3x+2+sqrt(x+5)

domain

f (x) = - 3 x + 2 + 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 - 5}{x ^{3} - x ^{2} - 2 x}

\frac{( 5 - 2 x ) 2 x + 3}{2 + x}

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

2 x - 9

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

What is the domain of f(x)=-3x+2+sqrt(x+5) ?
The domain of f(x)=-3x+2+sqrt(x+5) is x>=-5