Can someone help me with this problem

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

i cant see the question

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

(fog)(x) and it's Domain

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

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

So, we have:

$f(x) = x ^ 3$

$g(x) = 1-5x ^ 2$

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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Mr. Reich travels to and from work 5 days each week. If he drives his car, his weekly costs are $96 for gasoline, $19 for tolls

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Simplify: |4.2 – 6.8| + (2.4 + 7.2)

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Answer:

$|4.2 - 6.8| + (2.4 + 7.2)$