Question

determine o valor numérico da função afim f(x)=-3x+4 para;
a) x= 0
b) x= 1/3
c) x= 1
d) x= k+1
​

Answer 1

Resposta:

a)

$\sf f(x) = - 3x + 4$

$\sf f(0) = - 3 \cdot 0 + 4$

$\boxed { \boxed {\boldsymbol{ \sf f(0) = 4 }}} \quad \gets \boldsymbol{ \sf Resposta }$

b)

$\sf f(x) = - 3x + 4$

$\sf f\left(\dfrac{1}{3}\right ) = -\, 3 \cdot \left(\dfrac{1}{3}\right ) + 4$

$\sf f\left(\dfrac{1}{3}\right ) = -\, \left(\dfrac{3}{3}\right ) + 4$

$\sf f\left(\dfrac{1}{3}\right ) = -\, 1 + 4$

$\boxed { \boxed {\boldsymbol{ \sf \sf f\left(\dfrac{1}{3}\right ) =3 }}} \quad \gets \boldsymbol{ \sf Resposta }$

c)

$\sf f(x) = - 3x + 4$

$\sf f(1) = -\, 3\cdot 1 + 4$

$\sf f(1) = -\, 3 + 4$

$\boxed { \boxed {\boldsymbol{ \sf f(1) = 1 }}} \quad \gets \boldsymbol{ \sf Resposta }$

d)

$\sf f(x) = -\, 3x + 4$

$\sf f(k + 1) = -\, 3\cdot (k + 1) + 4$

$\sf f(k + 1) = -\, 3k - 3 + 4$

$\boxed { \boxed {\boldsymbol{ \sf f(k + 1) = -\, 3k +1 }}} \quad \gets \boldsymbol{ \sf Resposta }$

Explicação passo-a-passo: