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mezya [45]
2 years ago
15

Simplify the expression. Write your answer using an improper fraction with no spaces.

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

Answer: 59/3k+14

Step-by-step explanation:

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Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain
andre [41]

Answer:

Option B. f(g(x)) = (1-5x ^ 2) ^ 3  all real numbers

Step-by-step explanation:

We have

f(x) = x ^ 3 and g(x) = 1-5x ^ 2

They ask us to find

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To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

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Then:

f(g(x)) = (1-5x ^ 2) ^ 3

The domain of the function f(g(x)) is the range of the function g(x) = 1-5x ^ 2.

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: f(g(x)) = (1-5x ^ 2) ^ 3

And his domain is all real.

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