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What is the inverse of the function f(x) = 3x + 1?

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Question: What is the inverse of the function f(x) = 3x + 1?

Options:

  1. (x-1)/3
  2. (x-1)/3
  3. (x-3)/1
  4. 3(x-1)

Correct Answer: (x-1)/3

Solution: 

To find the inverse, set y = 3x + 1, solve for x: x = (y - 1)/3.

What is the inverse of the function f(x) = 3x + 1?

Practice Questions

Q1
What is the inverse of the function f(x) = 3x + 1?
  1. (x-1)/3
  2. (x-1)/3
  3. (x-3)/1
  4. 3(x-1)

Questions & Step-by-Step Solutions

What is the inverse of the function f(x) = 3x + 1?
  • Step 1: Start with the function f(x) = 3x + 1.
  • Step 2: Replace f(x) with y, so now we have y = 3x + 1.
  • Step 3: To find the inverse, we need to solve for x in terms of y.
  • Step 4: Subtract 1 from both sides: y - 1 = 3x.
  • Step 5: Now, divide both sides by 3: (y - 1)/3 = x.
  • Step 6: The inverse function is written as f^(-1)(y) = (y - 1)/3.
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