i have 7 questions of algebra i need answered pleas

pleas see atached word document for questions and instructions

MA1210: Week 6 Lab

Composite and Inverse Functions, Distance, Midpoint, and Circles

This lab requires you to:

· Combine functions.

· Form a composite function.

· Find the inverse of functions.

· Find the distance using the distance formula in a real-life problem.

· Find the midpoint of a line segment with given endpoints.

· Find the center and radius for the given standard form of circle.

Answer the following questions to complete this la

b.

Show all calculations for each question to get full credit.

Composite Functions:

1. Let and Find each of the following functions:

a.

b.

c.

d.

[Hint:]

Inverse Functions:

2.

Find the inverse of .

3. Show that has the inverse of by finding .

Distance and Midpoint Formulas:

4. State the distance formula. D=sr(x2-x1)^2+(y2-y1)^2

5. Dan’s house is north 3 miles and west 3 miles from Amy’s house. Find the distance between Amy’s house (6, –3) and Dan’s house (3, 0). (Estimate to two decimal places.)sr(6-3)^2+(-3-0)^2

=4.24

6. State the midpoint formula.

7. Find the midpoint of the line segment with endpoints (3, 8) and (–7, 2).

Circles:

8. For the standard form of a circle ,

a. Find the center:

?

b. Find the radius:

?

Submission Requirements:

Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and submit the paper. Name the file as InitialName_FirstName_Lab6-1_Date.

Page 1