Answer:
The answer to your question is f(g(x)) = x⁸ + 8x⁴ + 9
Step-by-step explanation:
Data
f(x) = x² + 2x - 6
g(x) = x⁴ + 3
(fg)(x)
Process
1.- Substitute g(x) in f(x)
f(g(x)) = (x⁴ + 3)² + 2(x⁴ + 3) - 6
2.- Simplify
f(g(x)) = x⁸ + 6x⁴ + 9 + 2x⁴ + 6 - 6
3.- Result
f(g(x)) = x⁸ + 8x⁴ + 9
