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

Option B.  all real numbers

Step-by-step explanation:

We have

and

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:

Then:

The domain of the function f(g(x)) is the range of the function .

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:

And his domain is all real.

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.

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial

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step-by-step explanation: