For n ∈ N, f n(x) denotes the composition of f with itself n times.Provide a formula (i.e. a ”rule”) for f n(x) when f (x) = −x + 2

Question

For n ∈ N, f n(x) denotes the composition of f with itself n times.Provide a formula (i.e. a ”rule”) for f n(x) when f (x) = −x + 2
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Solution 1

The function f(x) = -x + 2 is a linear function that flips the sign of x and adds 2. When we compose this function with itself n times, we get f^n(x).

Let's start with n=1, we have f(x) = -x + 2.

For n=2, we have f(f(x)) = f(-x + 2) = -(-x + 2) + 2 = x + 2.

For n=3, we have f(f(f(x))) = f(x + 2) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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