For f(x)=2-x and g(x)=4x^2+x+6, find (f×g)(x)

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For f(x)=2-x and g(x)=4x^2+x+6, find (f×g)(x)

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Latifah 4 years 2021-07-31T00:37:35+00:00 1 Answers 23 views 0

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  1. Dulcie
    0
    2021-07-31T00:38:39+00:00
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    Answer:

    Our composed function is f(g(x)) = -4x^2-x-4.

    Step-by-step explanation:

    We are given two separate functions:

    f(x) = 2-x

    g(x) = 4x^2 + x + 6

    We need to find the composition of (f \cdot g)(x). This is literally stating “f of g of x.”

    Therefore, we simply plug g(x) into f(x) and solve. We replace the x-value in the f(x) function with the entirety of the g(x) function and simplify.

    f(g(x)) = 2 - (4x^2+x+6)\\\\f(g(x)) = 2 - 4x^2 + x + 6\\\\f(g(x)) = -4x^2 - x - 4

    Our composed function is f(g(x)) = -4x^2-x-4.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )