What is the domain of f(x)=ln(sqrt(x+5)-1) ?

The domain of f(x)=ln(sqrt(x+5)-1) is x>-4

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domain of f(x)=ln(sqrt(x+5)-1)

domain

f (x) = ln (x + 5 - 1)

x > - 4

Interval Notation

(- 4, \infty)

Solution steps

Find positive values for logs:

x > - 4

The function domain

x > - 4

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

f (x) = \frac{1}{5} x^{2}

f (x) = \frac{2 x + 1}{2 x - 1}

arcsin (\frac{1}{2} 2 - x)

What is the domain of f(x)=ln(sqrt(x+5)-1) ?
The domain of f(x)=ln(sqrt(x+5)-1) is x>-4