Question

dadas as funções f(x) = 3x - 1/2 e g(x) = 2x/5 + 1, determine o valor de f(1/3) - g(-2)

Answer 1

Resolução,

$\boxed{f(x) = 3x -\frac{1}{2}}$

$f(\frac{1}{3}) = 3*\frac{1}{3} -\frac{1}{2}$

$f(\frac{1}{3}) = 3*\frac{3}{3} -\frac{1}{2}$

$f(\frac{1}{3}) = 1 -\frac{1}{2}$

$f(\frac{1}{3}) = \frac{2*1}{2} -\frac{1}{2}$

$\boxed{f(\frac{1}{3}) = \frac{1}{2}}$

$g(-2) = \frac{2(-2)}{5} +1$

$g(-2) = \frac{-4)}{5} +1$

$g(-2) = \frac{-4)}{5} +\frac {5*1}{5}$

$g(-2) = \frac {-4+5}{5}$

$\boxed{g(-2) = \frac{1}{5}}$

$\boxed{f(\frac{1}{3})-g(-2)}$

Substituindo,

$\frac {1}{2} - \frac{1}{5}$

$MMC(2,5) =10$

$\frac{5}{10} - \frac{2}{10} = \frac {3}{10}$

$\boxed {R = \frac{3}{10}}$

Answer 2

Olá, boa noite ☺

Resolução:

f(x) = 3x - 1/2. e g(x) = 2x/5 + 1.
--------------------------------------------

Calculando f(1/3)...

f(1/3) = 3x - 1/2.

f(1/3)=3×3/1 - 1/2.

f(1/3)=3/3 - 1/2.

f(1/3)=1/2.

Calculando g(-2)...

g(-2) = 2x/5 + 1.

g(-2)=(2×(-2))/5+1.

g(-2)=-4/5 + 1.

g(-2)=1/5
-----------------------------------------

f(1/3) - g(-2).

1/2 - (1/5)

1/2 - 1/5.

= 3/10.

Resposta: 3/10.

Bons estudos :)