What is the domain of f(x)=sqrt(ln(x^4-15)) ?

The domain of f(x)=sqrt(ln(x^4-15)) is x = 2

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domain of f(x)=sqrt(ln(x^4-15))

domain

f (x) = ln (x^{4} - 15)

x \leq - 2 or x \geq 2

Interval Notation

(- \infty, - 2] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

The function domain

x \leq - 2 or x \geq 2

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

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

f (x) = - x^{3} - 2 x^{2} + 25 x + 50

What is the domain of f(x)=sqrt(ln(x^4-15)) ?
The domain of f(x)=sqrt(ln(x^4-15)) is x<=-2\lor x>= 2