Write a justification for each step given that EG=FH

Option (C)

Step-by-step explanation:

           Statements                                 Reasons

1). EG = FH                               1). Given information

2). EG = EF + FG                      2). Segment addition postulate

3). FH = FG + GH                      3). Segment addition postulate

4). EF + FG = FG + GH             4). Definition of congruent segments

5). EF = GH                               5). Subtraction property of equality

Therefore, reasons given in Option (C) will be the answer.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3