Question

F(x) = sqrt(x^2+2x) x>0
Find the inverse of the function.

Answer 1

Swap x and F(x) then solve for F(x)

Answer 2

I tried that but I didn't know where to go from there, I ended up with x = sqrt(y^2+2y)
then x^2 = y^2 +2y, then x^2-y^2 = 2y and now I am at (x+y)(x-y) = 2y, I dont know where to go from here

Answer 3

to get y by itself

Answer 4

complete the square...
y^2 + 2y + ?

Answer 5

y^2 +2y +1 = (y+1)^2

Answer 6

Where did the 1 come from though?

Answer 7

so if we add 1 to both sides we get...
x^2 +1 = y^2 +2y +1
x^2 +1 = (y+1)^2

Answer 8

oh okay, let me see if I can figure it out from here

Answer 9

k

Answer 10

Thanks a lot I figured it out! :)

Answer 11

great!