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lions [1.4K]
2 years ago
8

Given these values f(x)=x^2 -3x-4, g(x)=-2x, h(x)-x^3 Evaluate (f(g(h(x)))

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

\begin{cases} f(x)=x^2-3x-4\\ g(x)=-2x\\ h(x)=-x^3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{g(~~h(x)~~)}{g(~~-x^3~~)}=-2\boxed{-x^3}\implies g(~~-x^3~~)=2x^3 \\\\[-0.35em] ~\dotfill\\\\ \underset{f(~~g(~~-x^3~~)~~)}{\stackrel{f(~~g(~~h(x)~~)~~)}{f(~~2x^3~~)}}=\boxed{2x^3}^2-3\boxed{2x^3}-4\implies f(~~2x^3~~)=2^2x^{3\cdot 2}-6x^3-4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{f(~~g(~~h(x)~~)~~)}{f(~~2x^3~~)}=4x^6-6x^3-4~\hfill

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spayn [35]
Hey!
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8 0
4 years ago
Read 2 more answers
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IgorLugansk [536]
How many times does 24 go into 7?

7 × 1 = 7
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I do hope this helped :))



7 0
3 years ago
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sp2606 [1]
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8 0
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5 0
3 years ago
Expand and simplify: 2(x-4^2)+7
Mekhanik [1.2K]
Answer:
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Explanation:
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3) Subtract 32 and 7
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I hope this helps! Please comment if you have any questions.
3 0
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