What is the range of f(x)=5+sqrt(4-x) ?

The range of f(x)=5+sqrt(4-x) is f(x)>= 5

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range of f(x)=5+sqrt(4-x)

range

f (x) = 5 + 4 - x

f (x) \geq 5

Interval Notation

[5, \infty)

Solution steps

The range of an radical function of the form

c a x + b + k

f (x) \geq k

k = 5

f (x) \geq 5

f (x) = 27 x^{3}

f (x) = - 5 x^{2} + 40 x + 45

f (x) = x^{2}

x^{3} - 18 x^{2} + 81 x + 13

What is the range of f(x)=5+sqrt(4-x) ?
The range of f(x)=5+sqrt(4-x) is f(x)>= 5