Question

Write y=e^(2x-x^2) in terms of x=

Answer 1

What is the inverse of the exponential function?

Answer 2

ln?

Answer 3

Ok so do ln( ) of both sides
and what do we get?

Answer 4

ln y = 2x - x^2

Answer 5

Here is another hint: You will have to use quadratic formula :)

Answer 6

See if you can see why

Answer 7

y=e^(2x-x^2)
lny=2x-x^2
Complete the square
lny=-x^2+2x
lny=-(x-1)^2+1
Can you solve from here?

Answer 8

Or what sam did
that works :)

Answer 9

Thank you