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

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

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

domain

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

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = x^{2} + 3 x - 10

f (x) = x - 2 - 5 x - 1

\frac{1}{\frac{2 x}{4 x + 7}}

f (x) = x^{5} + x

2 x^{2} - 6 x + 15

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