Question

Dadas as funções f(x) =x(ao quadrado)-5x+6 e g(x)=2x+1 resolva a equação
F(1)-g(x)=f(2)
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F(g(2)) F(0)

Answer 1

f(x) = x² - 5.x + 6 
g(x) = 2.x + 1

[f(1) - g(x)] / f(g(2)) = f(2) / f(0)

f(1) = 1² - 5.1 + 6 = 2
f(2) = 2² - 5.2 + 6 = 0
f(0) = 0² - 5.0 + 6 = 6
g(2) = 2.2 + 1 = 5
f(5) = 5² - 5.5 + 6 = 6

Logo:

[2 - (2.x + 1)] = 6/6
2 - 2.x - 1 = 1
2.x = 2 - 1 - 1 
2.x = 0
x = 0

Answer 2

$f(1)=1^2-5.1+6 \\ g(x)=2x+1 \\ f(1)-g(x)=f(2) \\ 2-(2x+1) = 0 \\ -2x=2-1 \\ -2x=1 \\ x=1/2$