Composite Functions (Leaving Cert Mathematics): Quizzes

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Composite Functions
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What is a composite function?

One function applied to another's result

What does (f∘g)(x)(f \circ g)(x) equal?

f(g(x))f(g(x))

How is (f∘g)(x)(f \circ g)(x) read?

ff after gg

In f(g(x))f(g(x)), which function is applied first?

g(x)g(x)

Which function is most nested in f(g(x))f(g(x))?

g(x)g(x)

If f(x)=2x+1f(x)=2x+1 and g(x)=x2g(x)=x^2, what is (f∘g)(x)(f \circ g)(x)?

2x2+12x^2+1

If f(x)=2x+1f(x)=2x+1 and g(x)=x2g(x)=x^2, what is (f∘g)(3)(f \circ g)(3)?

1919

What does 'apply f(x)f(x) after g(x)g(x)' mean?

Apply g(x)g(x) first, then f(x)f(x)

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Fundamentals of Functions

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Injective, Surjective & Bijective Functions

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Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Functions

The Basics

Types of Graphs

Graph Transformations

Injective, Surjective & Bijective Functions

Composite Functions

Inverse Functions

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