Question

Now evaluate. Substitute −2 for x in the composition f(g(x)) = 4x6 + 4x3 + 1, then simplify. f(g(−2)) =

Answer 1

i hope this helps you

Answer 2

The f(g(-2)) is equal to 225

We have given the function composition

f(g(x)) = 4x^6 + 4x^3 + 1

f(g(x))=4x^3(x^3+1)+1

x=-2,f(g(-2))=4(-2)^3((-2)^3+1)+1

What is the function composition?

The function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)).

=[4(-8)(-8+1)]+1

=-32(-7)+1

=244+1

Therefore the f(g(-2))=225

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