Question

Find the inverse of f(x) = 3x + 1 where f: RR

Answer 1

What does f:RR mean?

Answer 2

f:R->R

Answer 3

[AI-generated answer — Explain Bot]

To find the inverse of a function, we need to swap the roles of the x and y variables.

Let's start by replacing f(x) with y:
y = 3x + 1

Now, let's swap the roles of x and y:
x = 3y + 1

Next, we need to solve this equation for y to find the inverse function.
Let's isolate y:

x = 3y + 1

Subtract 1 from both sides:

x - 1 = 3y

Divide both sides by 3:

(x - 1) / 3 = y

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