Question

If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?

options are
2
3
5
6

Answer 1

Answer:

degree = 6

Step-by-step explanation:

Given $f(x)=3x^2$, and $g(x)=4^3+1$, we can find the composition of functions: $fog(x)$ by applying the definition of composition and performing the needed algebra.

Recall that the composition of functions is defined as: $fog(x)=f(g(x))$, where we use as input for the function f(x) the actual expression in terms of "x" of the function g(x):

$f(g(x))=f(4x^3+1)\\f(g(x))=3(4x^3+1)^2\\f(g(x))=3\,(4x^3+1)\,(4x^3+1)\\f(g(x))=3\,[16x^6+4x^3+4x^3+1]\\f(g(x))=3\,[16x^6+8x^3+1]\\f(g(x))=48x^6+24x^3+3$

Therefore, the degree of this expression is "6" (the highest power at which the variable "x" appears)

Answer 2

Answer:

the answer is 6

Step-by-step explanation:

don't have one