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

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

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

range

f (x) = 3 + x

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

\frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

f (x) = (x - 5)^{2} - 1

f (x) = \frac{x - 3}{( x + 4 ) ^{2}}

f (x) = \frac{x}{x ^{2} - 25}

y = 2 x^{3} - x^{2} + 3