What is the domain of f(x)=log_{2}(5x^2+20x-60) ?

The domain of f(x)=log_{2}(5x^2+20x-60) is x 2

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domain of f(x)=log_{2}(5x^2+20x-60)

domain

f (x) = lo g_{2} (5 x^{2} + 20 x - 60)

x < - 6 or x > 2

Interval Notation

(- \infty, - 6) \cup (2, \infty)

Solution steps

Find positive values for logs:

x < - 6 or x > 2

The function domain

x < - 6 or x > 2

- \frac{2}{x + 1}

f (x) = - 2 x e^{x} + 2 e^{x}

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

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

\frac{x + 4}{x ^{2} + 5 x - 14}

What is the domain of f(x)=log_{2}(5x^2+20x-60) ?
The domain of f(x)=log_{2}(5x^2+20x-60) is x<-6\lor x>2