What is the domain of f(x)=log_{2}(8-2x-x^2) ?

The domain of f(x)=log_{2}(8-2x-x^2) is -4<x<2

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domain of f(x)=log_{2}(8-2x-x^2)

domain

f (x) = lo g_{2} (8 - 2 x - x^{2})

- 4 < x < 2

Interval Notation

(- 4, 2)

Solution steps

Find positive values for logs:

- 4 < x < 2

The function domain

- 4 < x < 2

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

f (x) = \frac{∣ x ∣}{∣ x ∣ + 1}

81 x - 80

f (x) = \frac{9 - x ^{2}}{x}

f (x) = \frac{( 4 x - 6 )}{- x + 2}

What is the domain of f(x)=log_{2}(8-2x-x^2) ?
The domain of f(x)=log_{2}(8-2x-x^2) is -4<x<2