Function Notation

Function Notation

Function Notation:

Plugging in a Number

Substitute the number/expression inside the parentheses in for x

Function Notation:

Plugging in a Number

Substitute the number/expression inside the parentheses in for x

Function Notation:

Finding the Variable

Substitute the value that f(letter) is equal to in for f(x)

Substitute the constant inside the parentheses in for x

Multiple Choice

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Multiple Choice

• $x^2-x$

• $x^2-2x$
  

• $x^2-2x+1$
  

• $x^2+2x-1$
  

Multiple Choice

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• -2

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Function Composition:

Using Equations

(f o g)(x) = f(g(x))

Work from right to left/inside to outside

Complete the work in separate steps

i.e. Find g(x) first, then plug that into f(g(x))

Function Composition:

Using Equations

(f o g)(x) = f(g(x))

Work from right to left/inside to outside

Multiple Choice

• $16x^2-3$

• $16x^2-8x-3$
  

• $-8x^2+9$
  

• $-8x^2+7$
  

Multiple Choice

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

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