learn about function

1. Operation on Function

2. Reca
p
What is function?
A function is an expression that is used to
show a relation between two or more
variables. If a function has two variables,
then one variable will be the input variable
while the other will be the output variable.

3. What are operation on
function?
Operations on function are the arithmetic rules
we can apply to two or more functions. Functions
can be added, subtracted, multiplied, or divided
against each other, and we can divide function
operations into four types

4. 20XX presentation title 4
What is Addition of the
Function?

5. 20XX presentation title 5
Example
Given:
f(x) = 5x – 6
g(x) = 4x 7
Find:
a. (f+q)(x)
a.(f+q) (x) = f(x) + g(x)
= 5x – 6 + 4x 7
(f+q) (x) = - 9x +1

6. 20XX presentation title 6
What is Subtraction of the
Function?
When two or more functions are
subtracted, it is called the subtraction
of functions or functions subtraction
rule. For example, we have two
functions
and
and if we subtract them, then we will
get

7. Example
20XX presentation title 7
Given:
f(x) = 5x – 6
g(x) = 4x 7
b. (f-q)(x)
(f-q)(x) = f(x) – g(x)
= 5x-6 - (4x+7)
= 5x-6 – 4x+7
= 1x -13

8. 20XX presentation title 8
What is Multiplication of the
Functions ?
let us consider an example of function
operations multiplication: we have two
functions f(x) and g(x) and if we
multiply them together, then we will
get

10. Example:
Given
:
f(x)= 2𝑥2+ 5x -
3
g(x)= 5x -6
Find: (f∙g)
(x)
(f∙g)(x)= f(x)∙ g(x)
= (2𝑥2+ 5x -3) ∙ (5x -6)
= 10 𝑥3-12𝑥2 + 25𝑥2-30x -15x +18
(f∙g)(x) = 10 𝑥3
+13 𝑥2
-15x+18

11. Seatwork :
Given
:
f(x)= 7 𝑥2
+ 6x-9
g(x)= 8x +7
Find: (f∙g) (x)
(f∙g)(x)= f(x)∙ g(x)
= (7𝑥2
+ 6x -9) ∙ (8x +7)
= 56 𝑥3
+ 49𝑥2
+ 48𝑥2
+42x
-72x - 63
(f∙g)(x) = 56 𝑥3
+ 97 𝑥2
+114x+63

12. What is division on function?
To understand the function operations
division, suppose we have two functions
and
and if we divide them, then we will get

14. Example:
f(x)= 𝑥2
+ 4x -2
g(x)= 6x -3
Given
: Find
:
f(x)
g(x
)
𝑥2+ 4x -2
6x -3
6(x-2)
(x+1) (x-2)
6(x+1)
f(x)
g(x
)

15. Quiz:
Given:
1. f(x) = 3x2 + 7x
g(x) = 2x2 - x – 1
2 f(x) = 3x2 + 7x
g(x) = 2x2 - x - 2
find (f + g)(x).
find:
3. f(x) = 3x2 - 2x + 1
g(x) = 7x - 4
find: (f∙g) (x)
4.f(x) = x2 - 2x + 1
g(x) = 7x - 3
find: (f∙g) (x)
f(x)
g(x)

16. Lucky person

17. - Adam alejo

18. 20XX presentation title 18
Thank you so
much