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Sagot :
Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
According to the function,
Let the function be represented by f(x).
Step 1- Multiplying the number x by 4 results in 4x.
Step 2 - Subtracting 2 from results give 4x - 2.
So the function becomes:
f(x) = 4x - 2
We will find the inverse function by Replacing f(x) by y, and isolate x on one side of the equation and find the inverse:
[tex]y=4x-2\\\\ < br/ > y+2=4x\\ < br/ > x =\frac{1}{4} (y+2)\\ < br/ > f^-^1(y) = \frac{1}{4} (y+2)\\ < br/ > f^-^1(x) = \frac{1}{4} (x+2)[/tex]
Here,
The inverse function represents the reverse process.
Here, Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
Learn more about Function here:https://brainly.com/question/12431044
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