For all of the following questions please give as much help as you can, preferiably tell me how you solved it as well as the correct answer. Thank You
1. A rectangle has one corner on the graph of y=9-x^2 , another at the origin, a third on the positive x axis, and the fourth on the postive y axis. Express the area of the rectangle as a function of x.
2. If the points of a f(x) graph are (-6,0) (-4,-3) (0,-3) (2,5) and (8,0) then what would the points be for the graph of |f(x)| and the graph f(-x)
A farmer has 480 feet of fencing available to enclose a rectangular field. One side of the field lies along a river, so only 3 sides require fencing.
a. express the area A of the rectangle as a function of x, where x is the length of the side perpindicular to the river ( i think it is f(a)= (480-x/2)x
b. for what value of x is the area largest?
c.what is the maximum area?
3. answer the following:
a. The domain of f(g(x)) where f(x)= 16/x-4 and g(x)= √x-2 (square root symbol extends over entire binomial)
b. the domain of f(g(x)) if f(x)= x/x+3 and g(x)=2/x (is it x≠0, x≠2/3?)
(f-h)(x) when h(x)=-2x+5 and f(x)=3x+1 (is it 5x-4?)
THat is it. THank You for looking!