Let f(x) = 2×2 + x − 3 and g(x) = x + 2. Find (f • g)(x)

Question

Let f(x) = 2×2 + x − 3 and g(x) = x + 2.

Find (f • g)(x)

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niczorrrr 5 years 2021-07-23T07:46:22+00:00 2 Answers 13 views 0

Answers ( )

  1. taiduc
    0
    2021-07-23T07:47:40+00:00
    Reply

    Answer:

    (f\cdot g)(x) = 2x^3 + 5x^2-x-6

    Step-by-step explanation:

    We are given the two functions:

    f(x)=2x^2+x-3\text{ and } g(x)=x+2

    And we want to find:

    (f \cdot g)(x)

    Recall that this is equivalent to:

    =f(x)\cdot g(x)

    Substitute. Hence:

    (f\cdot g)(x)= (2x^2+x-3)(x+2)

    Expand if desired:

    \displaystyle = x(2x^2+x-3)+2(2x^2+x-3) \\ \\ = (2x^3+x^2-3x)+(4x^2+2x-6) \\ \\\ = 2x^3 + 5x^2-x-6

  2. Sigrid
    0
    2021-07-23T07:47:45+00:00
    Reply

    Answer:

    2x^3+5x^2-x-6

    Step-by-step explanation:

    f(x) = 2x^2 + x − 3 and g(x) = x + 2.

    (f • g)(x) = (2x^2 + x − 3 ) * (x + 2)

    Distribute

               =  (2x^2 + x − 3 )*x + (2x^2 + x − 3 )*2

                = 2x^3 +x^2 -3x + 4x^2 +2x -6

    Combine like terms

                =2x^3+5x^2-x-6

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