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GENERAL
MATHEMATICS
SUBTRACTION
OF
FUNCTIONS
What is the
definition of
term's using
Subtraction
of function?🤔
📝Defining the subtraction
Function.
In order to define the
subtraction function we
simply follow the rules:
(F–g)(x)=f(x) –g(x)
📝To subtract two
functions, you
subtract the values
of one function
from the values of
the other function
for the same input
values.
🗨🤔Here are some key concepts
related to the subtraction of
functions:
1. Pointwise Subtraction
2. Function Notation
3. Algebraic Manipulation
4. Domain Considerations
By understanding these
concepts, we can effectively
subtract functions and
determine the resulting function.
💡The domain of
a subtraction
function is the
set of all
possible input
values for which
the function is
defined.
Examples:
💡 Subtraction
of function
Subtraction of Functions using:
(F–g)(x)=F(x) –g(x)
DEFINITION
F(x)=4x²+8x G(x)=3x²–2x+1
Given:
Example 1:
Find: (f–g)(x).
(f–g)(x)=f(x)–g(x)
(f–g)(x)=(4x²+8x)–(3x²–2x+1)
(f–g)(x)=4x²+8x–3x²+2x–1
Answer:
(f–g)(x)=x²+10x–1
💡SUBTRACTION FUNCTIONS
Example 2:
Find: (f–g)(-3).
(f–g)(x)=x²+10x–1
(f–g)(-3)=(-3)²+10(-3)–1
(f–g)(-3)=9–30–1
Answer: (f–g)(-3)= –22
Example 3:
1. Question: What is the result of 15 minus 7?
a) 8
b) 22
c) 9
d) 13
Answer: The correct answer is letter a.)8
Explanation: To solve this subtraction
problem, we subtract 7 from 15. 15 - 7 equals
8. Therefore, the result of 15 minus 7 is 8.
💡
QUIZZES:
Given the functions f(x) = 2x - 3 and
g(x) = x^2 + 4x, what is the difference
between f(x) and g(x)?
a) -x^2 - 2x - 3
b) -x^2 + 2x - 3
c) x^2 + 2x - 3
d) x^2 - 2x + 3
Correct answer: a) -x^2 - 2x - 3
QUESTIONS 1:
QUESTIONS 2:
If f(x) = 5x + 2 and g(x) = 3x - 1,
what is the result of f(x) - g(x)?
a) 2x + 3
b) 2x - 3
c) 8x + 3
d) 8x - 3
Correct answer: d) 8x - 3
📝
QUOTES
"Mathematics may not teach us
how to add love or subtract
hate, but it gives us hope that
every problem has a solution." -
Albert Einstein
"Every mistake in mathematics
is an opportunity to learn, grow,
and deepen your understanding.
Embrace the challenges and
persevere."
Commit your works
to God and He will
acknowledge your
efforts with success.
GROUP 2
Francis G.
Tabotabo

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