Question

Prosze o pomoc z 215 numerem

Answer 1

Odpowiedź:

215

a)

g(x) = - 3x

g(- 1) = - 3 * (- 1)= 3

g(- 0,5) = - 3 * (- 0,5) = 1,5

g(3) = - 3 * 3 = - 9

g(2/3) = - 3 * 2/3 = - 1 * 2 = - 2

b)

g(x) = 10/x dla x ≠ 0

g(- 1) = 10/(-1)= - 10/1 = - 10

g(- 0,5) = 10/(- 0,5) = - 10/0,5) = - 20

g(3) = 10/3 = 3 1/3

g(2/3) = 10 : 2/3 = 10 * 3/2 = 30/2 = 15

c)

g(x) = 1

Jest to funkcja stała , która dla każdego x przyjmuje wartość 1

g(x) = 1

g(- 1) = 1

g(- 0,5) = 1

g(3) = 1

g(2/3) = 1

d)

g(x)=5x/(x² - 4) = 5x/[(x-2)(x+ 2)]

Df: x ∈ R - {- 2 , 2 }

g(- 1) = [5 * (- 1)]/[(- 1)²  - 4] = - 5/(1 - 4) = - 5/(- 3)= 5/3 = 1 2/3

g(- 0,5) = [5 * (- 0,5)]/[(- 0,5)²- 4]= - 2,5/(0,25 - 4)= - 2,5/(- 3,75)= 2,5/3,75 =

= 0,6666....= 0,(6)

g(3) = (5 * 3)/(3² - 4) = 15/(9 - 4) = 15/5 = 3

g(2/3) = (5 * 2/3)/[(2/3)² - 4]= (10/3) : (4/9 - 4) = 10/3 : (- 3 5/9) =

= 10/3 : (- 32/9) = 10/3 * ( - 9/32) = - 90/96 = - 45/48 = - 15/16