Multiple Choice , show full solutions.

1. An open-top box with a square base is to be constructed from two materials, one for the bottom and one for the sides. The volume of a box should be 9 cubic feet. The cost of the material for the bottom is 4 pesos per square feet, and the cost of the material for the sides is 3 pesos per square feet. Determine the model for the cost of the box as a function of its height h?

a). C(x)= 4 x^2 + 108/x b). C(x)= 4 x^2 + 27/x c) C(x)= 4x^2 +36/x d). C9x)= x^2 +108/x

What is the domain of the function?

a). ( 0, 3/2 ] b). ( 0, 3 sqrt4/2 ] c). [ 0, 3 sqrt4/2 ] d). cannot be determined

2. g(x)= square root x^2-1, and h(x)= square root x-1. Find the composite function g(h(x))?

a). square root of x- 2 b). square root of x c). square root of 2 -x d). square root of 4-x

What is the domain of g(f(x))?

a). all Real b). [1 , +infinity) c). [-1, + infinity) d). [0, +infinity)