Question

Dadas as funções f(x) = –3x + 1 e g(x) = 10x – 4, determine:
A) f(0)
-2
1
0
-1
B) f(-2)
-5
7
-3
6
C) g(8)
84
14
76
80
D)g(1/5)
-2
2
-6
4
E) f(-5) + g(-1)
25
2
16
14

Answer 1

• Após a substituição dos valores na função, obtemos (a) f(0) = 1 ; (b) f(-2) =7 ; (c) g(8) = 76 ; (d) g(1/5) = -2 e (e) f(-5) + g(-1) = 2 .

Dadas as funções definida por f(x) = -3x + 1 e g(x) = 10x - 4, perceba que ao solicitar f(0), f(-2), g(8), g(1/5) e f(-5) + g(-1), já está mostrando o caminho a ser realizado, substituindo x pelos valores atribuídos.

Item (a)

$\large{\sf{f(x)=-3x+1,\;dado\;x = 0.}}\\\\\large{\sf{f(0)=-3\cdot0+1}}\\\\\large{\sf{f(0)=0+1}}\\\\\large{\sf{f(0)=1}}$

Item (b)

$\large{\sf{f(x)=-3x+1,\;dado\;x = -2.}}\\\\\large{\sf{f(-2)=-3\cdot(-2)+1}}\\\\\large{\sf{f(-2)=6+1}}\\\\\large{\sf{f(-2)=7}}$

Item (c)

$\large{\sf{g(x)=10x-4,\;dado\;x=8.}}\\\\\large{\sf{g(8)=10\cdot8-4}}\\\\\large{\sf{g(8)=80-4}}\\\\\large{\sf{g(8)=76}}$

Item (d)

$\large{\text{ \sf{g(x)=10x-4,\;dado\;x=\dfrac{1}{5}.} }}\\\\\\\large{\text{ \sf{g\left(\dfrac{1}{5}\right)=10\cdot\dfrac{1}{5}-4} }}\\\\\\\large{\text{ \sf{g\left(\dfrac{1}{5}\right)=\dfrac{10}{5}-4} }}\\\\\\\large{\text{ \sf{g\left(\dfrac{1}{5}\right)=2-4} }}\\\\\\\large{\text{ \sf{g\left(\dfrac{1}{5}\right)=-2} }}$

Item (e)

$\large{\sf{f(-5)+g(-1)=}}\\\\\\\large{\sf{f(x)=-3x+1,\;dado\;x=-5.}}\\\\\large{\sf{f(-5)=-3\cdot(-5)+1}}\\\\\large{\sf{f(-5)=15+1}}\\\\\large{\sf{f(-5)=16}}\\\\\\\large{\sf{g(x)=10x-4,\;dado\;x=-1.}}\\\\\large{\sf{g(-1)=10\cdot(-1)-4}}\\\\\large{\sf{g(-1)=-10-4}}\\\\\large{\sf{g(-1)=-14}}\\\\\\\large{\sf{f(-5)+g(-1)=16+(-14)=16-14=2}}$

• Saiba mais sobre em:

https://brainly.com.br/tarefa/42567832

https://brainly.com.br/tarefa/42679710

Espero ter ajudado.

Bons estudos! :)