Question

Determine a função composta f(g(x)), sendo f(u)=2u2+2u−6 e g(x)=x+2

Answer 1

f (g(x)) = 2 • (g(x))2 + 2•g(x) -6
f(g(x)) = 2 • (x+2)2 + 2 • (x+2) - 6
f(g(x)) = 2 • (x2 + 4x + 4) + 2x + 4 - 6
f(g(x)) = 2x2 + 8x + 8 + 2x - 2
f(g(x)) = 2x2 + 10x + 6