Question

Considere as funções f (x) = 3x – 2 e g (x) = 2x + 4, determine:

a) fog (x) =

b) gof (x) =

c) fog (1) =

d) gof (5) =

Answer 1

Resposta:

Explicação passo-a-passo:

Função do primeiro grau

$a)\\ fog(2x+4)=3(2x+4)-2\\ fog(2x+4)=6x+12-2\\\boxed{\boxed{ fog(2x+4)=6x+10}}\\\\b)\\gof(3x-2)=2(3x-2)+4\\gof(3x-2)=6x-4+4\\ \boxed{\boxed{gof(3x-2)=6x}}\\\\c)\\fog(1)=6\times1+10\\\boxed{\boxed{fog(1)=16}}\\\\d)\\gof(5)=6\times5\\\boxed{\boxed{gof(5)=30}}$