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
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