Find a formula for the inverse of the given function. f(x) = 3x + 2

Answer 1

To find the inverse:

Step 1: Rewrite the function with "y" replacing f(x)

f(x) = 3x + 2 becomes y = 3x + 2

Step 2, Switch the "x" and "y" around.

y = 3x + 2 becomes x = 3y + 2

Step 3: Solve for "y".

x = 3y + 2 [Subtract 2 from both sides:

x - 2 = 3y [Divide both sides by 3

(x - 2)/3 = y

Step 4: Replace "y" with f^-1(x)

f^-1(x) = (x - 2)/3

That's the inverse.

Answer 2

Hi Kimberly,

The inverse function is f^-1(x) = (x-2)/3

This is how I got my answer. You can use these steps as well.

1. Write down the main function: f(x) = 3x + 2
2. Replace f(x) by y: y = 3x + 2
3. Interchange x and y: x = 3y - 2
4. Solve for y : x + 2 = 3y (I added 2 to both sides of the equal sign)

(x + 2) / 3 = y (I divided both sides by 3 to have only y at one side)

So y = (x - 2)/3 and this is our inverse function.

f^-1(x) = (x-2)/3

These steps should help you find the inverse of the other functions you put out here. I hope this helps. Feel free to contact me if you need more help.