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Algebra

Adding and subtracting polynomialsAlgebra

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Function notation (Advanced)Algebra

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

14.

Functions

14.1

Function notation (Advanced)

14.2

Operations with functions

14.3

Adding functions

14.4

Subtracting functions

14.5

Multiplying functions

14.6

Dividing functions

14.7

Composite functions

14.8

Inequalities of combined functions

14.9

Inverse functions

14.10

One to one functions

14.11

Difference quotient: applications of functions

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