Answer:
x² + 6x + 9
x² + 4x + 3
x³ + 8x² + 21x + 18
x + 2
Step-by-step explanation:
Given in the question two functions,
f(x) = x² + 5x + 6
g(x) = x + 3
1) (f+g)(x)
(x² + 5x + 6) + (x + 3)
x² + 5x + x + 6 + 3
x² + 6x + 9
2) (f-g)(x)
(x² + 5x + 6) - (x + 3)
x² + 5x - x + 6 - 3
x² + 4x + 3
3) (f.g)(x)
(x² + 5x + 6) . (x + 3)
x³ + 5x² + 6x + 3x² + 15x + 18
x³ + 8x² + 21x + 18
4) (f/g)(x)
(x² + 5x + 6) / (x + 3)
(x + 2)
-------------------
(x + 3) | (x² + 5x + 6)
x² + 3x
--------------------
2x + 6
2x + 6
-----------------
0
