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

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

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

domain

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

9 x + 5

x + 1 + 1 - x

f (x) = \frac{( 3 x - 8 )}{x ^{2} - 9 x + 20}

lo g_{2} (5 - x)

g (x) = - x^{2} + 3 x + 4

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