Answer:
- (r+s)(x) = 4x -1
- (r-s)(x) = 2x +7
- (r·s)(1) = -18
Step-by-step explanation:
You want the sum, difference, and product of two functions:
Sum
The sum is found by adding the two function definitions:
(r+s)(x) = r(x) +s(x)
(r+s)(x) = (3x +3) +(x -4) = (3+1)x +(3 -4)
(r+s)(x) = 4x -1
Difference
The difference is found by subtracting one function from the other:
(r-s)(x) = r(x) -s(x)
(r-s)(x) = (3x +3) -(x -4) = (3-1)x +(3-(-4))
(r-s)(x) = 2x +7
Product
The product is found by multiplying the function values:
(r·s)(1) = r(1)·s(1)
(r·s)(1) = (3·1 +3)·(1 -4) = 6·(-3)
(r·s)(1) = -18
