What is the range of f(x)=sqrt(x-1)+3 ?

The range of f(x)=sqrt(x-1)+3 is f(x)>= 3

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range of f(x)=sqrt(x-1)+3

range

f (x) = x - 1 + 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) = (7 x - 6)^{2} = 31

f (x) = \frac{1}{2} x^{4} - 30 x^{2}

f (x) = (4 x - 5)^{2}

f (x) = \frac{x - 3}{x ^{3} + 9}

x + 4 + 7

What is the range of f(x)=sqrt(x-1)+3 ?
The range of f(x)=sqrt(x-1)+3 is f(x)>= 3