What is the range of y=sqrt(x-5)-1 ?

The range of y=sqrt(x-5)-1 is f(x)>=-1

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range of y=sqrt(x-5)-1

range

y = x - 5 - 1

f (x) \geq - 1

Interval Notation

[- 1, \infty)

Solution steps

The range of an radical function of the form

c a x + b + k

f (x) \geq k

k = - 1

f (x) \geq - 1

y = x + 4

x^{2} + 2 x - 5

x + x^{2}

f (x) = 2 x + 7

2 t^{\frac{2}{3}} + t^{\frac{5}{3}}