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

The range of f(x)=sqrt(5x) is f(x)>= 0

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range of f(x)=sqrt(5x)

range

f (x) = 5 x

f (x) \geq 0

Interval Notation

[0, \infty)

Solution steps

The range of an radical function of the form

c a x + b + k

f (x) \geq k

k = 0

f (x) \geq 0

f (x) = x^{4} + 4 x^{3}

f (x) = \frac{2 x + 3}{x - 1}

f (x) = \frac{10 x ^{4} - 3}{2 x + 5 x ^{2}}

6 x^{4} - 8 x^{3} - 87 x^{2} + 90 x + 24

f (x) = - x^{5} + 5 x - 10