What is the inverse of the function f(x)=3x-2

The inverse of a function is the opposite of the function.

The inverse of the function is:

The function is given as:

Express as:

Swap x and y

Add 2 to both sides

Divide both sides by 3

Rewrite as:

Hence, the inverse of the function is:

Read more about inverse functions at:

link

For this case we must determine the inverse of the following function:

Step 1:

We write

Step 2:

We clear x:

Step 3:

"x" and "y" are exchanged:

The inverse is:

ANswer:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,