What is the domain of \sqrt[3]{ln((x+2)/(x^2+4))} ?

The domain of \sqrt[3]{ln((x+2)/(x^2+4))} is x>-2

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domain of \sqrt[3]{ln((x+2)/(x^2+4))}

domain

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

Find positive values for logs:

x > - 2

The function domain

x > - 2

f (x) = lo g_{x - 2} (- 2 x + 7)

f (x) = x^{2} = 4, x \leq 4

16 x - 5

f (x) = ln (- 3 x + 1)

f (x) = ln (t + 7)

What is the domain of \sqrt[3]{ln((x+2)/(x^2+4))} ?
The domain of \sqrt[3]{ln((x+2)/(x^2+4))} is x>-2