# I need the following problem solved with step by step explanations.

An example has been provided by the instructor. I can put the paper in APA format and write the opening and closing paragraphs.

Composition and Inverse

Read the following instructions to complete this assignment:

1. We define the following functions:

f (x) = 2x +5 g (x) = x² -3 h (x) = 7-x

3

o Compute (f – h) (4)

o Evaluate the following two compositions:

A: ( f ºg)(x)

B: (h ºg)(x)

o Graph the g(x) function and transform it so that the graph is moved 6 units to the right and 7 units down.

o Find the inverse functions:

C: f ¯¹(x)

D: h¯¹(x)

2. 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:

• Demonstrate your solution to the above problems, making sure to include all mathematical work as well as explanations for each step.

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