What is the domain of f(x)=sqrt(10-5x) ?

The domain of f(x)=sqrt(10-5x) is x<= 2

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domain of f(x)=sqrt(10-5x)

domain

f (x) = 10 - 5 x

x \leq 2

Interval Notation

(- \infty, 2]

Solution steps

Find non-negative values for radicals:

x \leq 2

The function domain

x \leq 2

d o main f (x) = 1 + 2 x - x^{2}

r an g e f (x) = \frac{x}{x ^{2} - 9}

a sy m pt o t es f (x) = \frac{3 x + 5}{7 - 6 x}

in v erse f (x) = 15000 + 1.5 x

in t erce pt s y = x + 4

What is the domain of f(x)=sqrt(10-5x) ?
The domain of f(x)=sqrt(10-5x) is x<= 2