# compositions and transformations of functions

1.

f(x) = 4x + 7, g(x) = 3x^{2}

### Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper NowFind (fg)(x). (4 points)

2.

Find (f + g)(x). (4 points)

3.

Describe how the graph of y = x^{2} can be transformed to the graph of the given equation.

y = (x – 10)^{2} + 8 (4 points)

4.

Describe how to transform the graph of f into the graph of g.

f(x) = x^{2} and g(x) = -(-x)^{2} (4 points)

5.

Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).

f(x) = 4 cos x; g(x) = cos x (4 points)

6. A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have? (Round your answer to two decimal places.)