What is the domain of f(x)= 1/(arccos(x-2)) ?

The domain of f(x)= 1/(arccos(x-2)) is 1<= x<3

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domain of f(x)= 1/(arccos(x-2))

domain

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

1 \leq x < 3

Interval Notation

[1, 3)

Solution steps

Find known functions domain restrictions:

1 \leq x \leq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

1 \leq x < 3

f (x) = (x + 5)

\frac{x ^{2} - x - 2}{x ^{2} - 6 x + 9}

f (x) = 2 x^{3} - 21 x^{2} + 60 x + 3

x + 4 + 6

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

What is the domain of f(x)= 1/(arccos(x-2)) ?
The domain of f(x)= 1/(arccos(x-2)) is 1<= x<3