1
Math Assignment Unit 1
Data Structures
College Algebra
Math 1201
November 2025
, 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
g (x)= g ( x) = 3 x +1
Steps:
• Substitute f(x)= 2x+1 and g(x)=3x+1:
f 2 x +1
g (x)= 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):
Math Assignment Unit 1
Data Structures
College Algebra
Math 1201
November 2025
, 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
g (x)= g ( x) = 3 x +1
Steps:
• Substitute f(x)= 2x+1 and g(x)=3x+1:
f 2 x +1
g (x)= 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):
