Find the domain of
f(x) = - squareroot x^2 - 4

d. x ≥ 2 or x ≤ -2

Step-by-step explanation:

The domain is the set of all possible x-values that will make the function work.

For the function to work, the radicand cannot be negative.

x² - 4 ≥ 0

x² ≥ 4

x ≥ 2    -x ≥ 2

            x ≤ -2

The domain is x ≥ 2 and x ≤ -2.

The graph of your function shows that ƒ(x) does not exist when -2 < x < 2.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )