Question

The functions f(x) and g(x) are defined below.

Answer 1

this will give u 6x

Answer 2

Answer: C.
`x^4+6x^3-12x-72`

Explanation:

Given functions :
`f(x)=√(x^2+12x+36)`

`g(x)=x^3-12`

The function f(x) can also be written as :

`f(x)=√(x^2+2(6x)+(6)(6))=\sqrt{(x+6)^2=(x+6)`

[ ∵
`a^2+2ab+b^2=(a+b)^2` ]

Now, the product of f(x) and g(x) will be :-

}
`f(x)\cdot g(x)=(x+6)(x^3-12)\\\\=x(x^3-12)+6(x^3-12)\\\\=x^4-12x+6x^3-72\\\\=x^4+6x^3-12x-72`