Given f(x)=x+6 and g(x)=square root of x+7, determine the following. 1. Domain of f(g(x)):
2. Domain of g(f(x)):

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?