What is the domain of f(x)=5*sqrt(1-x)-3 ?

The domain of f(x)=5*sqrt(1-x)-3 is x<= 1

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domain of f(x)=5*sqrt(1-x)-3

domain

f (x) = 5 \cdot 1 - x - 3

x \leq 1

Interval Notation

(- \infty, 1]

Solution steps

Find non-negative values for radicals:

x \leq 1

The function domain

x \leq 1

\frac{2 x + 1}{x - 5}

(\frac{- 3 x ^{2}}{2}) + \frac{225 x}{2}

(x^{\frac{2}{3}})^{3}

f (x) = \frac{1}{x ^{2} - 81}

\frac{2 - x - 1 + 3}{x - 2}

What is the domain of f(x)=5*sqrt(1-x)-3 ?
The domain of f(x)=5*sqrt(1-x)-3 is x<= 1