Question

Dada funcoes f(x)=x²-5x+6 e g(x)=x+1.calcule f(g(x))

Answer 1

f(x) = x² - 5x + 6
g(x) = x + 1

f(g(x)) = f(x+1)
f(x+1) = (x+1)² - 5(x+1) +6
f(x+1) = x² + 2x + 1 - 5x - 5 + 6
f(x+1) = x² - 3x + 2

Logo, f(g(x)) = x² - 3x + 2.