Question

Considere as seguintes funções f comma g colon straight real numbers rightwards arrow straight real numbers, dadas por f left parenthesis x right parenthesis equals x squared plus 3 e g left parenthesis x right parenthesis equals 2 cos left parenthesis 3 x right parenthesis. Assinale a alternativa que corresponde à expressão de left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis.
a.

6 cos left parenthesis x squared plus 3 right parenthesis.
b.

2 cos left parenthesis 3 x squared plus 9 right parenthesis.
c.

9 cos squared left parenthesis x plus 3 right parenthesis.
d.

2 cos left parenthesis left parenthesis 3 left parenthesis x plus 3 right parenthesis squared right parenthesis.
e.

3 cos squared left parenthesis x squared plus 3 right parenthesis.

Answer 1

Resposta:

2cos(3x^2+9)

Explicação passo a passo:

gof(x) = g(f(x)) = 2cos[3f(x)] = 2cos [3(x^2+3)] = 2cos (3x^2+9)

Answer 2

Resposta:

2cos(3x^2+9)

Explicação passo a passo:

gof(x) = g(f(x)) = 2cos[3f(x)] = 2cos [3(x^2+3)] = 2cos (3x^2+9)