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Perplex
Perplex
  • Dashboard
Topics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
Paper 3
Plus
Calculator Skills
Review VideosFormula BookletAll Study Sets
Sign UpLogin
Perplex
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Function Theory
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Function Composition
Inverse Functions
Function Composition
Function Theory

Function Composition

0 of 0 exercises completed

Composing functions like ​f∘g​

Composite functions
AHL AI 2.7

Functions can be composed by passing the output of one into the other. We use the symbol ​∘, and pay close attention to the order in which functions are composed:

​
(f∘g)(x)=f(g(x))🚫
​

To find an expression for ​f(g(x)), substitute ​g(x)​ for ​x​ in the expression for ​f(x).


Notice that for ​(f∘g)(x), we first pass ​x​ into ​g, and then pass that output into ​f.

problem image

Nice work completing Function Composition, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!
/
Function Theory
/
Function Composition
Inverse Functions
Function Composition
Function Theory

Function Composition

0 of 0 exercises completed

Composing functions like ​f∘g​

Composite functions
AHL AI 2.7

Functions can be composed by passing the output of one into the other. We use the symbol ​∘, and pay close attention to the order in which functions are composed:

​
(f∘g)(x)=f(g(x))🚫
​

To find an expression for ​f(g(x)), substitute ​g(x)​ for ​x​ in the expression for ​f(x).


Notice that for ​(f∘g)(x), we first pass ​x​ into ​g, and then pass that output into ​f.

problem image

Nice work completing Function Composition, here's a quick recap of what we covered:

Skills covered

Mixed Practice

Exercises checked off

I'm Plex, here to help you understand this concept!

Generating starter questions...

1 free

Generating starter questions...

1 free