SOLUTION: Suppose f and g are polynomials, and that h(x)=f(g(x))+g(x). Find the degree of g(x) given that the degree of h(x) is 6 and the degree of f(x) is 2.
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Polynomials-and-rational-expressions
-> SOLUTION: Suppose f and g are polynomials, and that h(x)=f(g(x))+g(x). Find the degree of g(x) given that the degree of h(x) is 6 and the degree of f(x) is 2.
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Question 1038296: Suppose f and g are polynomials, and that h(x)=f(g(x))+g(x). Find the degree of g(x) given that the degree of h(x) is 6 and the degree of f(x) is 2.
Since is degree 2, the degree of must be 2 times the degree of . Hence, must have a degree larger than . Adding a function to another function of higher degree cannot increase the degree of the higher degree function, hence if is degree 6, then must also be of degree 6, and consequently the degree of must be one half of 6, that is to say, 3.
John
My calculator said it, I believe it, that settles it
