Question

What does it mean/ what function do I write if the prob says:
Given that f(x) varies inversely with the square of x?

Answer 1

Not sure what the question is really stating but a function f(x) that is inversely proportional to x is written as

f(x) = 1/x ;

so function related to the inverse square would be

f(x) = 1/x^{2}

hope this is what you are looking for

Answer 2

\[f(x) = k/x^2\] where k is a constant. If x doubles, f(x) is divided by 4.

Answer 3

The graph will have this general shape:

Answer 4

If k < 0, the "funnel" will point in the other direction.

Answer 5

thank you!!!