Answer:
(f∘g∘h)(x) = 5(10√x -7)⁴ -6
Explanation:
You want to find (f∘g∘h)(x), given that ...
- f(x) = 5x⁴ -6
- g(x) = 10x -7
- h(x) = √x
Substitution
The composition (f∘g∘h)(x) is evaluated right to left. This means ...
(f∘g∘h)(x) = f(g(h(x)))
(f∘g∘h)(x) = f(g(√x)) = f(10√x -7)
(f∘g∘h)(x) = 5(10√x -7)⁴ -6
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Additional comment
This can be expanded to ...
(f∘g∘h)(x) = 50000x² -140000x√x +147000x -68600√x +11999
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