What is the range of f(x)=-sqrt(x+3)-2 ?

The range of f(x)=-sqrt(x+3)-2 is f(x)<=-2

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range of f(x)=-sqrt(x+3)-2

range

f (x) = - x + 3 - 2

f (x) \leq - 2

Interval Notation

(- \infty, - 2]

Solution steps

The range of an radical function of the form

- c a x + b + k

f (x) \leq k

k = - 2

f (x) \leq - 2

f (x) = 2 - 4 x - 3

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

f (x) = 2 x + 12

f (x) = - 2 x + 3

f (x) = (2)

What is the range of f(x)=-sqrt(x+3)-2 ?
The range of f(x)=-sqrt(x+3)-2 is f(x)<=-2