use the function f(x)= 3/x g(x)= 2x/x-5 k(x)=3x-4 to solve 1. g(-3) 2. f(-1) 3. (f+k)(3) 4. (gk)(x) 5. (K . g)(x) 6. (k^-1 . f^-1)(x)

Answer 1

1. g(-3) = (2(-3))/(-3-5) = -6/-8 = 3/4
2. f(-1) =3/-1 = -3
3. (f+k)(3) = f(3)+k(3) = 3/3 + 3•3-4 = 6
4. (gk)(x) = g(x)•k(x) = (2x/(x-5))(3x=4)
5. (k o g)(x) = k(g(x)) = 3(2x/(x-5)) - 4
6. (k^-1 o f^-1) (x) = (k o f)^-1(x) , (k o f) = 9/x -4, (k o f)^-1 = 9/(x+4)