Question

The function () = 2 + 4 was replaced with ( + ) resulting in the function

() = 2 + 22. What is the value of ?

Answer 1

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer 2

Let's evaluate explicitly
`f(x+k)`:

`f(x)=2x+4\iff f(x+k)=2(x+k)+4=2x+2k+4`

If this must equal
`2x+22`, we have

`2x+2k+4=2x+22 \iff 2k+4=22 \iff 2k=18 \iff k=9`