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Jlenok [28]
3 years ago
12

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

Mathematics
2 answers:
Yuri [45]3 years ago
6 0

Answer:

The correct choice is B

Step-by-step explanation:

The composite function (f o g)(x) is evaluated by substituting g(x) in place of x in f(x) which yields; (f o g)(x) = (g(x))^3 which finally becomes; (1-5x^2)^3. This function clearly is not a rational function and as such it has no undefined points nor domain constraints. It is defined and real for every value of x.

andre [41]3 years ago
5 0

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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2 years ago
A home security company plans to open a calling center to respond to customer calls and
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Answer:

x+y\geqslant 12

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Step-by-step explanation:

<u>Inequalities </u>

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7 0
3 years ago
The delivery ramp at the corner cafe id a right triangle. The hypotenuse is 4 meters long. One leg is 3 meters long. What is the
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7 0
3 years ago
Read 2 more answers
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