Question

What is (f⋅g)(x)?

f(x)=x^2+2x−6

g(x)=x^4+3



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Answer 1

hope this helps

Explanation:

Answer 2

The answer to your question is f(g(x)) = x⁸ + 8x⁴ + 9

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