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Algebra

Adding and subtracting polynomialsAlgebra

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Function notation (Advanced)Algebra

Operations with functions- Home
- GCSE 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: $5(f+g)(8)-10$

23.

Functions

23.1

Function notation

23.2

Operations with functions

23.3

Adding functions

23.4

Subtracting functions

23.5

Multiplying functions

23.6

Dividing functions

23.7

Composite functions

23.8

Inequalities of combined functions

23.9

Inverse functions

23.10

One to one functions

23.11

Difference quotient: applications of functions

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