2.3.6

Composite Functions

Test yourself

Composite Functions

If f(x) = x2 - 1 and g(x) = x + 3, then what is fg(2)?

Illustrative background for contentIllustrative background for undefined ?? "content
Illustrative background for contentIllustrative background for undefined ?? "content
Illustrative background for contentIllustrative background for undefined ?? "content

Composite Functions

There are a number of ways you can manipulate functions. Composite functions combine two functions together.

Illustrative background for Composite functionsIllustrative background for Composite functions ?? "content

Composite functions

  • You need to know how to combine two functions.
    • If f(x) = x2 - 1 and g(x) = x + 3, you need to know how to calculate fg(x).
    • fg(x) = f(g(x))
Illustrative background for ExampleIllustrative background for Example ?? "content

Example

  • If f(x) = x2 - 1 and g(x) = x + 3, what is fg(2)?
Illustrative background for contentIllustrative background for undefined ?? "content
Illustrative background for contentIllustrative background for undefined ?? "content
Illustrative background for contentIllustrative background for undefined ?? "content

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson