Question

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

Answer 1

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

What is the formula for inverse function?

• 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

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