Solve each application of operations and composition of functions. Peri...

Solve each application of operations and composition of functions.

Perimeter of a Square The perimeter x of a square with side length s is given by the formula

(a) Solve for s in terms of x.

(b) If y represents the area of this square, write y as a function of the perimeter x.

(c) Use the composite function of part (b) to analytically find the area of a square with perimeter 6.

(d) Support the result of part (c) graphically, and explain the result.