What is the domain of f(x)=sqrt(-x+1)+ln(x) ?

The domain of f(x)=sqrt(-x+1)+ln(x) is 0<x<= 1

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domain of f(x)=sqrt(-x+1)+ln(x)

domain

f (x) = - x + 1 + ln (x)

0 < x \leq 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 1

Find positive values for logs:

x > 0

Combine real regions and undefined points for final function domain

0 < x \leq 1

g (x) = 5^{x}

f (x) = \frac{1}{x - 2} g (x) = \frac{8}{x + 3}

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

y = 5 cos (x)

\frac{3 x - 7}{8}

What is the domain of f(x)=sqrt(-x+1)+ln(x) ?
The domain of f(x)=sqrt(-x+1)+ln(x) is 0<x<= 1