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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 47 Page 450

When given a composite function written as (f ∘ f)(x), think of it as f(f(x)).

(f ∘ f)(3)=21

Practice makes perfect

When we are given a composite function written as (f ∘ f)(x), we can think of it as f(f(x)). (f ∘ f)(x) ⇔ f(f(x))To find the value of (f ∘ f)(3), we will first evaluate f(3).

f(x)=x^2-4

Substitute

x= 3

f( 3)= 3^2-4

CalcPow

Calculate power

f(3)=9-4

SubTerm

Subtract term

f(3)=5

Next, we will use f(3)=5 as the input for f(x).

f(x)=x^2-4