Task 1.Before working on this task 1, please read the following readings:

• Read section 1.5 Function Arithmetic pages 76-92 of the following textbook to help you understand the concepts better and in easier way.

Stitz, C., & Zeager, J. (2013).College algebra. Stitz Zeager Open Source Mathematics.https://stitz-zeager.com/szca07042013.pdf

• Read the following webpage to help you easily understand the operations of functions.

Mathisfun. (n.d.).Operations with functions.https://www.mathsisfun.com/sets/functions-operations.html

If f: R Rand g: R R defined byf(x) = 2x+1andg(x) = 3x+1.

(i) Find the functional values to the algebraic operations, (fg)(x), fog(x), and gof(x)by explaining the way of performing operations. Show all steps of calculations.

(ii) Are fg, fog, and gof equal? Please explain your answer.

(iii) Find the domain and ranges of each of the 4 operations. Explain the procedure of finding the domain and range for each of above 4 operations.