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Find fofof If the funtion f(x)=x+3...

Find `fofof` If the funtion `f(x)=x+3`

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To find \( f(f(f(x))) \) given the function \( f(x) = x + 3 \), we can follow these steps: ### Step 1: Find \( f(f(x)) \) We start by determining \( f(f(x)) \). 1. Substitute \( f(x) \) into itself: \[ f(f(x)) = f(x + 3) \] 2. Now, apply the function \( f \) to \( x + 3 \): \[ f(x + 3) = (x + 3) + 3 = x + 6 \] ### Step 2: Find \( f(f(f(x))) \) Next, we need to find \( f(f(f(x))) \). 1. Substitute \( f(f(x)) \) into \( f \): \[ f(f(f(x))) = f(f(x + 3)) = f(x + 6) \] 2. Now, apply the function \( f \) to \( x + 6 \): \[ f(x + 6) = (x + 6) + 3 = x + 9 \] ### Final Result Thus, we have: \[ f(f(f(x))) = x + 9 \]
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