What is the domain of f(x)=log_{4}(x^2-9) ?

The domain of f(x)=log_{4}(x^2-9) is x 3

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domain of f(x)=log_{4}(x^2-9)

domain

f (x) = lo g_{4} (x^{2} - 9)

x < - 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < - 3 or x > 3

The function domain

x < - 3 or x > 3

f (1, 0) = y = 2 x^{2} + 8 x - 10

(- 2, - 4), (4, - 4)

(x + 1)^{2} - 4

f (x) = π - arccos (2 x + 1)

(1, - 1), (2, - 6)

What is the domain of f(x)=log_{4}(x^2-9) ?
The domain of f(x)=log_{4}(x^2-9) is x<-3\lor x>3