If f(x) = 1-x2 and g(x) = 1 - x which is the rule of function (f – g)(x)?

-x^2 +x

Step-by-step explanation:

f(x) = 1-x^2

g(x) = 1 - x

f(x) - g(x) = 1-x^2  - (1 - x )

Distribute the minus sign

              = 1-x^2 -1 +x

Combine like terms

             = -x^2 +x

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.