Question

Find inverse of f(x)=- 1/2 x+11

Answer 1

-2x + 22

Explanation:

We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.

To find the inverse, we will follow the according steps :

• Replacing x with y
• Solving for y

Let's do as followed:

Replacing x with y :

Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.

y = -1/2x + 11

x = -1/2y + 11

Solve for y :

We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :

x - 11 = -1/2y

Now divide both sides by -1/2 to get y alone and retrieve our inverse :

-2(x - 11)

Distribute to get the inverse :

-2x + 22