Mathematics: If f(x) = 3x2 and g(x) = 4x2+1, what is the degree of (fog)(x)?

If f(x) = 3x2 and g(x) = 4x2+1, what is the degree

Ответ:

nicole5918

12.07.2021

Step-by-step explanation:

To solve this problem let us first find (fog)(x) , or find the function of f(x) in terms of g(x). All we have to do is replace x with g(x) in the function f(x):

$(fog)(x)=3g(x)^2\\\\(fog)(x)=3(4x^2+1)^2\\\\(fog)(x)=3(16x^4+8x^2+1)\\\\(fog)(x)=48x^4+24x^2+3$

We have to find the the degree of (fog)(x) , which is the largest exponent on one of the polynomial's terms. Notice that 48x^4 has the greatest exponent of 4.

Therefore, the degree of (fog)(x) is 4.

I hope this helps! Let me know if you have any questions :)

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Ответ:

makaileep1623

08.05.2023

Mathematics

$6.50

Step-by-step explanation:

$19.50 divided 3 is 6.50

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If f(x) = 3x2 and g(x) = 4x2+1, what is the degree of (fog)(x)?

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