Respuesta :

Answer:  6

Step-by-step explanation:

Degree of a function is the highest power of the variable present in a monomial.

Here, The given functions are,

[tex]f(x) = 3x^2[/tex]

And, [tex]g(x) = 4x^3+1[/tex]

Thus, [tex](fog)(x) = f[g(x)] = f[4x^3+1] = 3(4x^3+1)^2 = 3(16x^6+1+8x^3)[/tex]

Since, In the function fog the highest power of x is 6.

⇒ The degree of (fog)(x) is 6.

Answer:

Degree of fog(x) is 6

Step-by-step explanation:

Degree of the function is highest exponent of the variable .

In order to find that we shall find the composition  of the function  as follows :

fog(x) is given by f(g(x))

And here f(x) =[tex]3x^2[/tex]

f(g(x)) will be  [tex]3(g(x))^2[/tex]

and then plugging the value of g(x) =[tex]4x^3+1[/tex]

so fog(x) = f(g(x)) = [tex]3(4x^3+1)^2[/tex]

              = [tex]3(4x^3+1)^2=3(16x^6+1+8x^3)\\[/tex]

            Here highest exponent of the function is 6

therefore degree of ( fog)(x) is 6.

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