What is the domain of f(x)=sqrt(x-x^2)-arcsin(3x-4) ?

The domain of f(x)=sqrt(x-x^2)-arcsin(3x-4) is x=1

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domain of f(x)=sqrt(x-x^2)-arcsin(3x-4)

domain

f (x) = x - x^{2} - arcsin (3 x - 4)

x = 1

Interval Notation

x = 1

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 1

Find known functions domain restrictions:

1 \leq x \leq \frac{5}{3}

Combine real regions and undefined points for final function domain

x = 1

18 x - 17

f (x) = \frac{x + 2}{x ^{3} - 100 x}

\frac{x ^{3} - 7 x + 6}{x ^{3} - 7 x - 6}

f (x) = 34

f (x) = 7 - \frac{1}{x}

What is the domain of f(x)=sqrt(x-x^2)-arcsin(3x-4) ?
The domain of f(x)=sqrt(x-x^2)-arcsin(3x-4) is x=1