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Alekssandra [29.7K]
2 years ago
5

If x is divided by 2 and then 4 is subtracted, then the function is f left parenthesis x right parenthesis equals x divided by 2

minus 4. What are the steps to find the inverse to this function
Mathematics
1 answer:
Anni [7]2 years ago
8 0

The inverse is y = x/2 - 4

Steps involved are -

  1. replace f(x) with y:   y = 2(x + 4)
  2. Then switch y and x:   x = 2(y + 4)
  3. Finally make y the subject:
  4. x = 2(y + 4)
  5. x/2 = y + 4      (divide by 2)
  6. x/2 - 4 = y       (subtract 4)
  7. So, the inverse is y = x/2 - 4

<h3>What is the formula for inverse function?</h3>
  • In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f.
  • The inverse of f exists if and only if f is bijective.
  • f-1(y) = y/2 = x, is the inverse of f(x).

To learn more about inverse functions from the given link

brainly.com/question/3831584

#SPJ4

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