Answer:
(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12
Step-by-step explanation:
F(x) = x +3
G(x) = 2x^2 -4
(f*g)(x) = f(x) * g(x)
(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12
The function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The function (f x g)(x) is calculated as,
F(x) = x +3
G(x) = 2x² -4
(f x g)(x) = f(x) x g(x)
(f x g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)
(f x g)(x) = 2x³ + 6x² - 4x -12
Therefore, the function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.
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