What is the domain of f(x)=sqrt(x^2+5x-14) ?

The domain of f(x)=sqrt(x^2+5x-14) is x = 2

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domain of f(x)=sqrt(x^2+5x-14)

domain

f (x) = x^{2} + 5 x - 14

x \leq - 7 or x \geq 2

Interval Notation

(- \infty, - 7] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 7 or x \geq 2

The function domain

x \leq - 7 or x \geq 2

f (x) = 2 x - 1 + 3

\frac{1 + 3 x}{5 - 2 x}

\frac{x ^{8}}{x ^{4} + 7}

f (x) = x^{2} - 5, x \leq 0

3 sin (\frac{x}{π} + \frac{1}{2}) - 2

What is the domain of f(x)=sqrt(x^2+5x-14) ?
The domain of f(x)=sqrt(x^2+5x-14) is x<=-7\lor x>= 2