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If f(x) = 3x - 5, what is f(f(1))?

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Question: If f(x) = 3x - 5, what is f(f(1))?

Options:

  1. -2
  2. 1
  3. 4
  4. 7

Correct Answer: 7

Solution: 

First, find f(1) = 3(1) - 5 = -2. Then, f(-2) = 3(-2) - 5 = -6 - 5 = -11.

If f(x) = 3x - 5, what is f(f(1))?

Practice Questions

Q1
If f(x) = 3x - 5, what is f(f(1))?
  1. -2
  2. 1
  3. 4
  4. 7

Questions & Step-by-Step Solutions

If f(x) = 3x - 5, what is f(f(1))?
  • Step 1: Start with the function f(x) = 3x - 5.
  • Step 2: Calculate f(1) by substituting 1 into the function: f(1) = 3(1) - 5.
  • Step 3: Simplify f(1): 3(1) = 3, so f(1) = 3 - 5 = -2.
  • Step 4: Now, we need to find f(f(1)), which is f(-2).
  • Step 5: Substitute -2 into the function: f(-2) = 3(-2) - 5.
  • Step 6: Simplify f(-2): 3(-2) = -6, so f(-2) = -6 - 5 = -11.
  • Function Composition – The process of applying a function to the result of another function.
  • Linear Functions – Understanding the behavior and evaluation of linear functions.
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