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

Answers

The inverse is y = x/2 – 4

Steps involved are –

replace f(x) with y: y = 2(x + 4)

Then switch y and x: x = 2(y + 4)

Finally make y the subject:

x = 2(y + 4)

x/2 = y + 4(divide by 2)

x/2 – 4 = y (subtract 4)

So, the inverse is y = x/2 – 4

What is the formula for inverse function?

In mathematics, the inversefunction 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

y = x/2 – 4Steps involved are –f(x)with y:y = 2(x + 4)y and x:x = 2(y + 4)x = 2(y + 4)x/2 = y + 4(divide by 2)x/2 – 4 = y(subtract 4)y = x/2 – 4## What is the formula for inverse function?

inversefunctionof a function f (also called the inverse of f) is a function that undoes theoperation of f.inverseof f exists if and only if f isbijective.f-1(y) = y/2 = x,is the inverse of f(x).inverse functionsfrom the given link