Question

5) As funções f e g sao dadas por : f(x) = 3/5x -1 e g (x) = 4/3x + a.
Sabe-se que f(0) - g(0) = 1/3.
Determine f(3) - 3 g( 1/5)​

Answer 1

Resposta:

4

Explicação passo a passo:

f(x) = 3/5x -1

g(x) = 4/3x + a.

• f(0) - g(0) = 1/3

f(0) = - 1

g(0) = a

- 1 - a = 1/3

-a = 1/3 + 1

a = - 4/3

f(3) = 3/5 . 3 - 1

f(3) = 9/5 - 5/5 = 4/5

g(1/5) = (4/3).(1/5) - 4/3

g(1/5) = 4/15 - 20/15 = -16/15

• f(3) - 3g(1/5)

é igual a

4/5 - 3.(-16/15)

4/5 + 48/15

= (12+48)/15

= 60/15

= 4