Math Assignment Unit 1: Practice Problems and Solutions Study Guide

_(()*)()(*)(Math
Math Assignment
10/23/2026,
Unit 1.docx10/23/2026,
8:13:01 AM*@*^%^#!*&^*&^!()(@*&$*@10/23/2026,
8:13:01 AM*@*^%^#!*&^*&^!()(@*&$*@10/23/2026,
4:03:13 AM1 of 12Page
4:03:13
1Math
AM1Assignment
of 12Page 1Math
Unit 1.docx2026/10/23Page
Assignment Unit 1.docx2026/10/23Pa
1 of 12



1




Math Assignment Unit 1



Data Structures

College Algebra

Math 1201

November 2025

,_(()*)()(*)(Math
Math Assignment
10/23/2026,
Unit 1.docx10/23/2026,
8:13:01 AM*@*^%^#!*&^*&^!()(@*&$*@10/23/2026,
8:13:01 AM*@*^%^#!*&^*&^!()(@*&$*@10/23/2026,
4:03:13 AM2 of 12Page
4:03:13
2Math
AM2Assignment
of 12Page 2Math
Unit 1.docx2026/10/23Page
Assignment Unit 1.docx2026/10/23Pa
2 of 12



2

Task 1

If f: R→ Rand g: R→ R defined by f(x) = 2x+1 and g(x) = 3x+1.


(i) Find the functional values to the algebraic operations \frac{f}{g} \binom {x} , (fg)
(x), fog(x), and gof(x) by explaining the way of performing operations. Show all steps
of calculations.

Given functions:

1. f(x)=2x+1
2. g(x)=3x+1

(i) Functional values for operations:
f
1. Division: (x)
g

The division of functions is defined as:

f f (x ) 2 x +1
(x)= =
g g ( x) 3 x +1

Steps:

• Substitute f(x)= 2x+1 and g(x)=3x+1:

f 2 x +1
(x)=
g 3 x +1


2. Multiplication: (fg)(x)

The multiplication of functions is defined as:

(fg)(x)=f(x)⋅g(x)=(2x+1)(3x+1)

Steps:

• Expand (2x+1)(3x+1):