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

degree 5

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

f(x) × g(x) = 3x²(4x³ + 1) = 12 + 3x²

The degree of the polynomial is determined by the value of the largest exponent, that is

12 ← largest exponent of 5

Hence (fg)(x) is of degree 5

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

slope intercept form is y = mx + b