What is the domain of f(x)=sqrt(7x^2-28x-35) ?

The domain of f(x)=sqrt(7x^2-28x-35) is x = 5

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domain of f(x)=sqrt(7x^2-28x-35)

domain

f (x) = 7 x^{2} - 28 x - 35

x \leq - 1 or x \geq 5

Interval Notation

(- \infty, - 1] \cup [5, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 5

The function domain

x \leq - 1 or x \geq 5

f (x) = \frac{2 + 3 x}{1 - 4 x}

6 - 2 x + \frac{3}{5 x}

\frac{7 x}{2 + 5 x}

y = \frac{x ^{2} + 5 x + 6}{x + 3}

f (x) = 4 - x^{2} + 1 + x

What is the domain of f(x)=sqrt(7x^2-28x-35) ?
The domain of f(x)=sqrt(7x^2-28x-35) is x<=-1\lor x>= 5