Respuesta :

The inverse of the function f(x) = 3x - 2 is f⁻¹(x) = 2/3 + 2/3.

What is the inverse of the given equation?

Given the function in the question;

f(x) = 3x - 2

To determine the inverse, write the function as an equation.

y = 3x - 2

Next, interchange the variables.

x = 3y -2

Next, solve for y

x = 3y -2

3y = x + 2

Divide each term by the coefficient of y

3y/3 = x/3 + 2/3

y = 2/3 + 2/3

Replace y with f⁻¹(x)

f⁻¹(x) = 2/3 + 2/3

Therefore, the inverse of the function f(x) = 3x - 2 is f⁻¹(x) = 2/3 + 2/3

Learn more about inverse of functions here: https://brainly.com/question/2541698

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