# Composition and Inverse

**Question description**

Composition and Inverse

Read the following instructions to complete this assignment:

- We define the following functions:

f (x)=2x+5 g(x)=x^2-3 h(x)= 7-x over 3 - Compute (
*f*–*h*)(4). - Evaluate the following two compsitions:
- A: (fog)(x)

B:(hog)(x) - Graph the g(x) function and transform it so that the graph is moved 6 units to the right and 7 units down.
- Find the inverse functions:

C: f^-1(x)

D: h^-1(x)

- Compute (
- Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, do the following:

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