SOLUTION: whats the inverse for f(x) = 4x -2

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Question 1189777: whats the inverse for f(x) = 4x -2

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
whats the inverse for f(x) = 4x -2
~~~~~~~~~~~~~~~~~~~~ 

We write

    y = 4x - 2.


Then we swap x and y

    x = 4y - 2


and express "y" from here

    y = .


What you get is your  ANSWER.

Solved.

---------------

The procedure described in my post is the standard to create an inverse function
(when it exists),  and the wording mantra is standard and universal,  too.

So,  it is worth to  MEMORIZE  it to use for the future similar problems.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Yes; the method described in the response from the other tutor is the standard way to find the inverse of a function.

However, for many relatively simple functions like this one, you can find the inverse quickly using the idea that an inverse function "un-does" what the function does. To undo what the function does, the inverse must perform the opposite operations, in the opposite order.

In this example, the function does this to the input:
(1) multiply by 4; and
(2) subtract 2

So the inverse function has to
(1) add 2; and
(2) divide by 4

ANSWER:


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