We actually don't need to do any computation. By definition, the inverse function changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition is always the identity function
. In fact,
So, for every function, you have
Shown in the attached figure
<h2>Explanation:</h2>The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:
So we need to use this function in order to obtain:
Recall that to translate a function vertically, we use the following rule:
And to translate a function horizontally, we use the following rule:
Since:
Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
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<h2>Learn more:</h2>Transformations in real-world problems: brainly.com/question/1033817
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