What is the domain of f(x)=sqrt(x^2+3x-28) ?

The domain of f(x)=sqrt(x^2+3x-28) is x = 4

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domain of f(x)=sqrt(x^2+3x-28)

domain

f (x) = x^{2} + 3 x - 28

x \leq - 7 or x \geq 4

Interval Notation

(- \infty, - 7] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 7 or x \geq 4

The function domain

x \leq - 7 or x \geq 4

f (x) = ln ((x - 17)^{2})

8 x - 2

f (x) = \frac{4 x + 5}{x ^{2} + 3 x - 18}

f (x) = e^{- x} sin (x), x \geq 0

f (x) = \frac{2 ^{x}}{1 + 2 ^{x}}

What is the domain of f(x)=sqrt(x^2+3x-28) ?
The domain of f(x)=sqrt(x^2+3x-28) is x<=-7\lor x>= 4