If f(x) = – x2 + 6x - 1 and g(x) = 3x
- 1, find (f + g)(x).

-x^2 +9x -2

Step-by-step explanation:

f(x) = – x^2 + 6x - 1 and g(x) = 3x - 1,

(f + g)(x) = f(x) + g(x)

               = – x^2 + 6x - 1 + 3x - 1

Combine like terms

              = -x^2 +9x -2

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.