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

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

domain

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

x \leq - 4 or x \geq 7

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x \geq 7

The function domain

x \leq - 4 or x \geq 7

s l o p e in t erce pt 16 x - 4 y = - 20

p er p e n d i c u l a r y = \frac{1}{5} x - 7

in t erce pt s f (x) = y - 4 = 7 (x - 6)

s l o p e in t erce pt - 8

d o main f (x) = \frac{x}{x + 3}

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\lor x>= 7