Given the function f(x)=4x−1 , evaluate and simplify the expressions below. See special instructions on how to enter your ans

Question

Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.

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Thành Công 4 years 2021-07-30T08:50:14+00:00 1 Answers 13 views 0

Answers ( )

  1. diemkieu
    0
    2021-07-30T08:52:12+00:00
    Reply

    Answer:

    f(a) = 4a - 1

    f(a+h) = 4a+4h - 1

    f(a + h) - f(a)h= 4a + 5h - 4ah- 1

    Step-by-step explanation:

    Given

    f(x) = 4x - 1

    Solving (a): f(a)

    Substitute a for x

    f(a) = 4a - 1

    Solving (b): f(a + h)

    Substitute a + h for x

    f(a+h) = 4(a+h) - 1

    f(a+h) = 4a+4h - 1

    Solving (c):f(a + h) – f(a)h

    f(a + h) - f(a)h= f(a + h) - f(a) * h

    Substitute values for f(a + h) and f(a)

    f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h

    Open bracket

    f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h

    Collect like terms

    f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1

    f(a + h) - f(a)h= 4a + 5h - 4ah- 1

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