Question

se f(x)= 3x²+2 e g(x)=4x+1 calcule g(f(x)) e f(g(x))

Answer 1

Calculando g(f(x))

g(x) = 4x + 1
g(f(x)) = 4(f(x)) + 1
g(f(x)) = 4(3x² + 2) + 1
g(f(x)) = 12x² + 8 + 1
g(f(x)) = 12x² + 9
___________________________
Calculando f(g(x))

f(x) = 3x² + 2
f(g(x)) = 3(g(x))² + 2
f(g(x)) = 3(4x+1)² + 2
f(g(x)) = 3(16x² + 8x + 1) + 2
f(g(x)) = 48x² + 24x + 3 + 2
f(g(x)) = 48x² + 24x + 5

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