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Consider the functions fand g.

= 4x² + 1

g(x) =

Perform the function compositions:

x² – 3

Consider the functions fand g.

= 4x² + 1

g(x) =

Perform the function compositions:

x² – 3

function compositionexists an operation ” ∘ ” that brings two functions f and g, and has a functionh = g ∘ fsuch thath(x) = g(f(x)).(f o g)(x) = 4x⁴ – 96x + 37and(g o f)(x) = 16x⁴ + 8x² – 2.## What is composition function?

function compositionexists an operation ” ∘ ” that brings two functions f and g, and has a functionh = g ∘ fsuch thath(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.a) (f o g)(x) = f[g(x)]= 4x⁴ – 96x + 37(f o g)(x) = 4x⁴ – 96x + 37b) (g o f)(x) = g[f(x)](g o f)(x) = 16x⁴ + 8x² – 2.(f o g)(x) = 4x⁴ – 96x + 37and(g o f)(x) = 16x⁴ + 8x² – 2.functionrefer to:https://brainly.com/question/26709985