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MathematicsMathematics
8 April, 13:19

2

f (x) = x + 2 x + 3.

Answer the following three questions about the values f assigns using the instructions above. Do not include an equals sign or the letter f in y

your answers, click the Save Answer button.

1.

What is the value of f (3) ?

Enter Your Unsimplified Answer Here: (3^2) + 2 (3) + 3

Enter Your Simplified Answer Here: 18

What is the value of f (4x) ?

Enter Your Unsimplified Answer Here:

Enter Your Simplified Answer Here:

What is the value of f (x-3) ?

Enter Your Unsimplified Answer Here:

Enter Your Simplified Answer Here:

+4
Answers (1)
  1. 8 April, 13:40
    0
    f (4x) = (4x) ^2 + 2 (4x) + 3 = 16x^2 + 8x + 3

    f (x-3) = (x-3) ^2 + 2 (x-3) + 3 = x^2 - 4x + 6

    Step-by-step explanation:

    Apparently, you want to evaluate ...

    f (4x) f (x-3)

    for f (x) = x^2 + 2x + 3.

    Put the given argument values in place of the function variable and do the math.

    f (4x)

    f (4x) = (4x) ^2 + 2 (4x) + 3

    = 16x^2 + 8x + 3

    __

    f (x-3)

    f (x-3) = (x-3) ^2 + 2 (x-3) + 3

    = x^2 - 6x + 9 + 2x - 6 + 3 = x^2 - 4x + 6
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