Mammoth Memory

inverse function

`f^-1 (x)` = Inverse function (`x`)

`f^-1` = Inverse machine

`x` = input

Note: `f^-1` is not a power (or exponent).

`f^-1 (x)` reverses or undoes what the original function did.

It means the inverse.

1 a. `f  (x) = 2x + 3`

Then this machine "`f`" takes the input `x` multiplies by 2 and add 3.

 

1 b. `f^-1``(x)`

Then this machine "`f^-1`" subtracts 3 from the input `x` and then divides it by 2.

`f^-1``(x) = (x-3)/2` 

 

2 a. `f  (x) = (5x - 3)/4`

Then this machine `f` takes the input `x` multiplies by 5, then takes away 3 and then divides by 4.

 

2 b. `f^-1``(x) =`

Then this machine `f^-1` multiplies the input `x` by 4 then adds 3 and then divides by 5.

`f^-1``(x) = (4x + 3)/5` 

 

 

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