Answer:
f(x) = 3x - 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 3x - 2
Interchanging the role of x and y
x = 3y - 2
x + 2 = 3y
y =( x + 2 ) / 3
Therefore f^-1(x) =
The inverse of the function f(x) is equal to f⁻¹ (x) = (x + 2) / 3.
A function is the relation between two sets. A function relates between a domain set and a range set.
Inverse of a function is the reverse operation of the given function.
Given function:
y = f(x) = 3x - 2
⇒ y = 3x - 2
⇒ y + 2 = 3x
⇒ x = (y + 2) / 3
Interchanging 'x' with 'y', we get:
y = (x + 2) / 3
Therefore, f⁻¹ (x) = (x + 2) / 3
Learn more about inverse of a function here: https://brainly.com/question/21370543
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