What is the inverse of the function f(x)=1/3x-2

To find the inverse of a function you switch the x and y terms.

First you want to rewrite it in terms of x and y. y=1/3x-2

Then switch x and y. x=1/3y-2

Then solve for y. x+2=1/3y
3x+6=y

Then rewrite as a function using correct notation f^-1(x)=3x+6

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azikennamdi azikennamdi · Answer 2 · 2022-05-24T12:19:46+02:00

The inverse of the function F(x) = 1/(3X-2) is: [tex]F^{-1}[/tex](x )=3x + 6. See below for steps on how to arrive at the inverse of the above function.

What is the inverse of a function?

The inverse of a function is a function that returns the original value for which the output of a function was given. The Inverse of the above function - F(x) = 1/(3X-2) is solved s follows:

First Step - Rewrite the Original Function in terms of x and y.

This translates to y = 1/(3x - 2)

Step 2 - X and Y

That is x = 1/(3y - 2)

Step 3 - Cross multiply to equate the formula to Y then solve.

That is,

x + 2 = 1/3y

that is y = 3x + 6

Learn more about the inverse of a function at:

https://brainly.com/question/19671192

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