BOAT

.|

.|2 Miles

.|______________________

.......4 miles of shoreline.....|

.....................................| 1Mile

.................................HOUSE

Art rows @ 2 MPH and walks @ 4 MPH

Art rowed to a point x miles down the shore towards his house and then walked directly to his house.

I believe I have this part correct:

Walking distance in terms of x: f(x) = sqrt of (4-x+1)

Rowing distance in terms of x: f(x) = sqrt of (x^2+4)

Time walking in terms of x: f(x) = sqrt of (4-x+1) all divided by 4

Time rowing in terms of x: f(x) = sqrt of (x^2+4) all divided by 2

Let me know if I'm OK so far.

Write a function, T(x), for the total time it takes to get to Art's house from where he is located in the boat. Wouldn't I just add the last two functions together for the function for total time?