Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
Answer:
C - 3,600
Step-by-step explanation:
100 16 45 ÷ 2
50. 8. 45 ÷ 2
25. 4. 45 ÷ 2
25. 2. 45. ÷ 2
25. 1. 45. ÷ 3
25. 1. 15. ÷ 3
25. 1. 5. ÷ 5
5. 1. 1. ÷ 5
1. 1. 1
L.C.M = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3, 600
I know this may be confusing but if you don't understand, you're welcome to ask.
Answer:
0.25
Step-by-step explanation:
Hope this helps.
Step-by-step explanation:
3. Between √9 and √16 or 3 nd 4
5. D
6. 7cubic inches
7. 8/45
8. 0.5 m
9. 4/25
