Question

Sejam A={-1,0,1,2} e B={1,3,5,7,11,9,13}, dada pela lei f(X) = -2X + 9. Determine:

Answer 1

Resposta:

Solução:

$\sf \displaystyle Dados: \begin{cases} \sf A = \{ - 1, 0, 1, 2 \} \\ \sf B = \{ 1, 3, 5, 7, 9, 11, 13 \} \\ \sf f(x) = - 2x + 9 \end{cases}$

$\sf \displaystyle f(x) = -2x + 9$

$\sf \displaystyle f(-\:1 ) = -2 \cdot (-1) + 9 = 2+9 = \text{\sf \textbf{11 }}$

$\sf \displaystyle f(0 ) = -2 \cdot0 + 9 = 0+9 = \text{\sf \textbf{9 }}$

$\sf \displaystyle f(1 ) = -2 \cdot 1 + 9 = -2 +9 = \text{\sf \textbf{7 }}$

$\sf \displaystyle f(2 ) = -2 \cdot 2 + 9 = - 4 +9 = \text{\sf \textbf{ 5 }}$

$\sf \boldsymbol{ \sf \displaystyle D(f) = \{-1, 0, 1,2 \} }$

$\sf \boldsymbol{ \sf \displaystyle CD(f) = \{1, 3, 5, 7, 9, 11, 13 \} }$

$\sf \boldsymbol{ \sf \displaystyle Im(f) = \{5, 7, 9, 11 \} }$

Explicação passo-a-passo: