Given the function: How can you restrict the domain so that f(x) has an
inverse? What is the equation of the inverse function?
f(x) = x² – 2x
O x2 0; f-1(x) = 1+Vx+1
O x 21; p-1 (x) = 1 +Vx+1
O x > 0; p-1(x) = 1-7X+1
O x 21; p-1(x) = 1-Vx+1

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.

Using elimination, what is -4x+2y=-12 4x+8y=-24