Question

If f(x)=3x^2 and g(x)- 4x^3+1, what is the degree of (f*g) ? 2 3 5 6

Answer 1

(f *g)(x) = 3x^2(4x^3 + 1)
(f *g)(x) = 12x^5 + 3x^2
Degree 5

Answer 2

ANSWER


`\boxed { C. \: \: \: 5}`


Step-by-step explanation


The given functions are


`f(x) = 3 {x}^(2)`

and


`g(x) = 4 {x}^(3) + 1`

We are required to find the degree of :



`(f * g)(x) = f(x) * g(x)`




`(f * g)(x) = 3 {x}^(2) (4 {x}^(3) + 1)`




`(f * g)(x) = 12 {x}^(5) + 3 {x}^(2)`


The degree of this new function is 5.

The correct answer is C.