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Operations with functions- Home
- Sixth Year Maths
- Functions

Still Confused?

Try reviewing these fundamentals first

Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

Operations with functionsStill Confused?

Try reviewing these fundamentals first

Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

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Get Started Now- Lesson: 1a1:48
- Lesson: 1b5:03
- Lesson: 2a20:11
- Lesson: 2b3:39
- Lesson: 34:16

Basic Concepts:Adding and subtracting polynomials, Function notation, Function notation (Advanced), Operations with functions,

adding functions: $(f+g)(x) = f(x)+g(x)$

- 1.
**Determine the Sum of Two Functions Algebraically**

If $f(x)= 5x^3-x+6$ and $g(x)=4x-8$, determine:a)$(f+g)(x)$b)$(f+g)(2)$, evaluate in two different ways - 2.
**Determine the Sum of Two Functions Graphically**

Given the graphs of functions $f(x)$ and $g(x)$

a)sketch: $(f+g)(x)$b)evaluate:

i) $(f+g)(-5)$

ii) $(f+g)(0)$

iii) $(f+g)(5)$ - 3.
**Determine the Value of a Combined Function**

If $f(x)=\sqrt{2x}-1$ and $g(x) = -|6-x|$

Evaluate: $5(f+g)(8)-10$

1.

Functions

1.1

Function notation

1.2

Operations with functions

1.3

Adding functions

1.4

Subtracting functions

1.5

Multiplying functions

1.6

Dividing functions

1.7

Composite functions

1.8

Inequalities of combined functions

1.9

Inverse functions

1.10

One to one functions

1.11

Difference quotient: applications of functions

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