Answer:
The inverse function is y = x/3
Step-by-step explanation:
The easiest way to see the answer, is to think of inverse functions as 'undoing' the original function. So in order to get from 3x back to x, we need to divide by 3. So i.e. the inverse function is just y = x/3
The inverse of given function is [tex]y=\dfrac{1}{3}x[/tex].
Given:
The given function is:
[tex]y=3x[/tex]
To find:
The inverse of the given function.
Explanation:
We have,
[tex]y=3x[/tex]
Interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=3y[/tex]
Now, isolate the variable [tex]y[/tex]. Divide both sides by [tex]3[/tex].
[tex]\dfrac{x}{3}=\dfrac{3y}{3}[/tex]
[tex]\dfrac{1}{3}x=y[/tex]
Therefore, the inverse of given function is [tex]y=\dfrac{1}{3}x[/tex].
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