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

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

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

range

f (x) = x - 2 - 3

f (x) \geq - 3

Interval Notation

[- 3, \infty)

Solution steps

The range of an radical function of the form

c a x + b + k

f (x) \geq k

k = - 3

f (x) \geq - 3

f (x) = 6 x^{2} + 1

(1.6, 0.3365), (2.4, 0.574)

f (x) = x^{3} - 12 x + 3

\frac{3}{2} sin (2 π x)

f (x) = t^{2} - 10 t + 25

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