What is the domain of f(x)=arccos((x^2-x-13)/7) ?

The domain of f(x)=arccos((x^2-x-13)/7) is -4<= x<=-2\lor 3<= x<= 5

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domain of f(x)=arccos((x^2-x-13)/7)

domain

f (x) = arccos (\frac{x ^{2} - x - 13}{7})

- 4 \leq x \leq - 2 or 3 \leq x \leq 5

Interval Notation

[- 4, - 2] \cup [3, 5]

Solution steps

Find known functions domain restrictions:

- 4 \leq x \leq - 2 or 3 \leq x \leq 5

The function domain

- 4 \leq x \leq - 2 or 3 \leq x \leq 5

f (x) = ln (2 - x - x^{2})

f (x) = ln^{\frac{1}{x}} (x)

f (x) = - 3 - 2 (x - 3) + 4

e^{x - 3}

f (x) = - 6 x + 36

What is the domain of f(x)=arccos((x^2-x-13)/7) ?
The domain of f(x)=arccos((x^2-x-13)/7) is -4<= x<=-2\lor 3<= x<= 5