1) for the following problem: let f={(-2-1), (2,-3)} and let g-{-3,,-2), (0, , ,1)}.find the following a) f(1) and g-1) b) (gof (1) c) () d) (fog)(3)

1. f(1)=-1 and g(-1)=-2.

2. (gof)(1)=-2.

3. (gofof)(-1)=-2

4. (fog)(3)=-1

Step-by-step explanation:

The given functions are defined as

f={(-2,3),(-1,1),(0,0),(1,-1), (2,-3)}

g={(-3,1),(-1,-2), (0, 2),(2, 2),(3,1)}

1.

The value of function f at x=1 is -1, So, f(1)=-1.

The value of function g at x=-1 is -2, So, g(-1)=-2.

Therefore the value of f(1) is -1 and the value of g(-1) is -2.

2.

Therefore the value of (gof)(1) is -2.

3.

Therefore the value of (gofof)(1) is -2.

4.

Therefore the value of (fog)(3) is -1.