17) the "investiture struggle" that took place between pope gregory vii and king henry iv symbolized the struggle between the church and state over who had the power to

Explanation:

For anyone in UsaTestPrep it is D) appoint church positions The "investiture struggle" of the 11th and 12th centuries that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the church and state over who had the power to appoint church positions. Pope Gregory VII later excommunicated King Henry IV over this issue and it led to a weakening in the Holy Roman Empire therefore it is D.  

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .