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Algebra

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Operations with functions- Home
- Higher 1 Maths
- Operations of 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: 16:53
- 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: $5(f+g)(8)-10$

16.

Operations of Functions

16.1

Function notation

16.2

Operations with functions

16.3

Adding functions

16.4

Subtracting functions

16.5

Multiplying functions

16.6

Dividing functions

16.7

Composite functions

16.8

Inequalities of combined functions

16.9

Inverse functions

16.10

One to one functions

16.11

Difference quotient: applications of functions

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