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What is the inverse of the function f(x) = 3x + 4?

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Question: What is the inverse of the function f(x) = 3x + 4?

Options:

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

Correct Answer: (x - 4)/3

Solution: 

To find the inverse, set y = 3x + 4, solve for x: x = (y - 4)/3, hence the inverse is (x - 4)/3.

What is the inverse of the function f(x) = 3x + 4?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the inverse of the function f(x) = 3x + 4?
  • Step 1: Start with the function f(x) = 3x + 4.
  • Step 2: Replace f(x) with y, so we have y = 3x + 4.
  • Step 3: To find the inverse, we need to solve for x in terms of y.
  • Step 4: Subtract 4 from both sides: y - 4 = 3x.
  • Step 5: Now, divide both sides by 3: (y - 4)/3 = x.
  • Step 6: The inverse function is written as f^(-1)(y) = (y - 4)/3.
  • Step 7: To express the inverse in terms of x, we can write f^(-1)(x) = (x - 4)/3.
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