What is the domain of f(x)=log_{2}(x^2-x-90) ?

The domain of f(x)=log_{2}(x^2-x-90) is x 10

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domain of f(x)=log_{2}(x^2-x-90)

domain

f (x) = lo g_{2} (x^{2} - x - 90)

x < - 9 or x > 10

Interval Notation

(- \infty, - 9) \cup (10, \infty)

Solution steps

Find positive values for logs:

x < - 9 or x > 10

The function domain

x < - 9 or x > 10

y = \frac{x ^{2} + 4 x}{2 x + 6}

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

\frac{x + 1}{x - 1}

2 - x^{2}

What is the domain of f(x)=log_{2}(x^2-x-90) ?
The domain of f(x)=log_{2}(x^2-x-90) is x<-9\lor x>10