Question

Evaluate the operations on the given functions, f(x) and g(x), in the provided table

Answer 1

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