If f(x)=3x^2 and g(x)=4x^3=1, what is the degree of (fog)(x)

f(x) = 3x^2

g(x) = 4x^3 + 1

(fog)(x) = 3(4x^3 +1)^2

= 48x^6 + 24x^3 + 3

The degree is the highest exponent on the variable, which is 6.

The degree of (fog)(x) =6

Step-by-step explanation:

Given:

To find:

     The degree of (fog) (x)

Solution:

Formula used for calculating fog (x) is given as:

(fog) (x)=[f(g(x))]

Substitute the value of f(x) and g(x) in the above equation, we get

    (fog) (x)=

                =                      

                =

                =  

                =

(fog) (x)=

Result:

The degree of (fog) (x)=is Six.

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step-by-step explanation: