What is the domain of f(x)=sqrt(x^2-7x) ?

The domain of f(x)=sqrt(x^2-7x) is x = 7

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domain of f(x)=sqrt(x^2-7x)

domain

f (x) = x^{2} - 7 x

x \leq 0 or x \geq 7

Interval Notation

(- \infty, 0] \cup [7, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 7

The function domain

x \leq 0 or x \geq 7

g (x) = \frac{- 5 + 2 x}{5}

x^{2} - 2 x - 8

\frac{1}{2}

x - 2

(4, 16), (- 12, - 8)

What is the domain of f(x)=sqrt(x^2-7x) ?
The domain of f(x)=sqrt(x^2-7x) is x<= 0\lor x>= 7