What is the domain of f(x)=log_{2}(4-x^4) ?

The domain of f(x)=log_{2}(4-x^4) is -sqrt(2)<x<sqrt(2)

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domain of f(x)=log_{2}(4-x^4)

domain

f (x) = lo g_{2} (4 - x^{4})

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find positive values for logs:

- 2 < x < 2

The function domain

- 2 < x < 2

f (x) = - 4 x

f (x) = - x^{4} - 4 x^{3} + 8 x - 1

f (x) = 15 - x

f (x) = \frac{3}{x + 5}

- 7 y = 8 x - 3

What is the domain of f(x)=log_{2}(4-x^4) ?
The domain of f(x)=log_{2}(4-x^4) is -sqrt(2)<x<sqrt(2)