Question

Se f(x) = x² + 2x e g(x) = |x³| + 2x, determine a composta de f com g e de g com f.

Answer 1

Ola Inha 

f(x) = x² + 2x 

g(x) = |x³| + 2x

f(g(x)) = g(x)² + 2g(x) 

f(g(x)) = |x|⁶ + 4x|x|³ + 2|x|³ + 4x² + 2|x³| + 4x

g(f(x)) = |(x² + 2x)³| + 2x² + 4x 

g(f(x)) = |x⁶ + 6x⁵ + 12x⁴ + 8x³| + 2x² + 4x