Verified answer

There are an infinity of answers to this, question is not precise enough. It could be anything.

And why start with T, and then give another function F?

Also, I guess you want to find T(1,0,0), if your F and T are the same.

If you had said T was a *linear* application, then one just has to notice that

(1,0,1) + (1,1,0) - (0,1,1) = 2 (1,0,0)

so 2 T(1,0,0) = T[2 (1,0,0)]

= T[(1,0,1) + (1,1,0) - (0,1,1)]

= T(1,0,1) + T(1,1,0) - T(0,1,1)

= (2,4,-1) + (1,0,-1) - (-1,-2,-3)

= (4, 6, 1)

and so T(1,0,0) = (2,3, 0.5)