Question

The inverse of the function f(x) = 1/2x + 10 is shown.

h(x) = 2x –

What is the missing value?

Answer 1

the answer is f(x)= 2(x-10) which you are able to simplify to

2x-20

Answer 2

`20`

Explanation:

In order to find the inverse of a function, just follow the next steps:

Step 1: Write y=f(x):

`y=(1)/(2) x +10`

Step 2: Isolate x:

`y-10=(1)/(2) x\\\\2y-20=x`

Step 3: Replace every x with a y and replace every y with an x:

`2x-20=y`

Hence:

`f^(-1) (x)=h(x)=2x-20`

We can conclude from the previous result that the missing value is 20