OPERATIONS ON FUNCTIONS (addition,subtraction,multiplication,division)

n systems engineering, software engineering, and computer science, a function model or functional model is a structured representation of the functions (activities, actions, processes, operations) within the modeled system or subject area.

1. OPERATIONS ON FUNCTIONS Lesson 3

2. ADDITION

3. SUBTRACTION

4. MULTIPLICATION

5. s

6. division

7. COMPOSTION OF FUNCTION

8. 인
[/ —2)(x) = £(x)—2(x)

To find the difference between two functions, subtract
the first from the second. CAUTION: Make sure you
distribute the — to each term of the second function. You
should simplify by combining like terms.

f(x) =Bx2 glx)
y Da
S-s Lada) ee

=2x*+3-4x* | = 4% +2x* +2

9. MULTIPLICATIO
N

10. ug
Uf -gllx) = A): (x

To find the product of two functions, put parenthesis
2 around them and multiply each term from the first
function to each term of the second function.

4 f(x)=2x74+3 glx)=4x +1

11. a
(f-g)(x) = f(x): elx)

To find the product of two functions, put parenthesis
around them and multiply each term from the first
function to each term of the second function.

f(x)=2x”+3 glx)=4x?* +1
ES (2x? +3)(4x° +1) FOIL

Good idea to put in

= 8x° + 2x? + 12x? + 3 descending order
but not required.

13. 了 y fl
g g(x)

To find the quotient of two functions, put the first one
over the second.

flx)= 2x? +3 sx) = 4x #1

14. i
Ge _ f(x)
g g(x)

To find the quotient of two functions, put the first one
over the second.

f(x) =2x74+3 g(x) =4x°4+1

here. (If you can reduce

2
ia 2x e 3 Nothing more you could do
g 4x° +1 these you should).

15. ya

re een
:So the first 4 operations on functions are
¿pretty straight forward.

¡The rules for the domain of functions would
: apply to these combinations of functions as
:well. The domain of the sum, difference or
= product would be the numbers x in the
«domains of both fand g.

"For the quotient, you would also need to
sexclude any numbers x that would make the
¿resulting denominator 0.

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