To find the inverse of the function f(x) = x + 12, we need to follow a few steps.
First, we start by replacing f(x) with y:
y = x + 12
Next, we solve for x in terms of y. This means we want to isolate x on one side of the equation:
x = y – 12
Now, to express the inverse function, we swap x and y:
y = x – 12
Therefore, the inverse of the function f(x) = x + 12 is:
f-1(x) = x – 12
In summary, the inverse function undoes the original function’s action. When you input a value into the inverse function, it will return the original value that was input into the function.