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    Practice with Functions

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    I need some help to push me through with functions. (Please see the Attached Questions File)

    5. Perform the requested operation or operations.
    f(x) = 2x - 9, g(x) = 4x - 4

    Find (f - g)(x)
    Answer. -2x - 5

    6. Compare the graph of the given quadratic function f with the graph of y = x2
    f(x) = (x - 8)2 + 4
    Answer. a translation 8 units right and 4 units up

    Solve the problem
    Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7
    Answer: -528

    8. Compute and simplify the difference quotient
    f(x + h) - f(x)
    H
    , h ≠ 0.

    Answer: 4
    10. Consider the function h as defined. Find functions f and g so that (f ° g)(x) = h(x).
    h(x) = 10/x^2 +4
    answer. f(x) = x + 4, g(x) = 10/x^2

    11. Solve the problem.
    Find (f °g)(-6) when f(x) = 4x + 4 and g(x) = 6x2 - 3x - 6.
    Answer: 916

    13. Determine whether or not the function is one-to-one.

    15. Perform the requested operation or operations.
    f(x) = 9x - 4, g(x) = 6x - 6
    Find (f - g)(x).
    Answer: 3x + 2
    16. Graph the basic function using a solid line and the transformed function using a dotted line.
    y = -3 |x|

    20. Solve the problem
    Select the equation that describes the graph shown

    A. y = (x + 2)2- 4
    B. y = (x + 4)2 + 2
    C. y = (x - 4)2 + 2
    D. y = x2 - 4

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    https://brainmass.com/math/graphs-and-functions/practice-functions-184677

    Attachments

    Solution Preview

    The solution file is attached.

    5. Perform the requested operation or operations.
    f(x) = 2x - 9, g(x) = 4x - 4

    Find (f - g)(x)

    (f - g)(-x) = 2x - 9 - (4x - 4) = 2x - 9 - 4x + 4 = -2x - 5

    Answer. -2x - 5

    6. Compare the graph of the given quadratic function f with the graph of y = x2
    f(x) = (x - 8)2 + 4

    .
    Answer. a translation 8 units right and 4 units up (This answer is correct!)

    Solve the problem
    Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7

    (f O ...

    Solution Summary

    Neat and Step-by-step Solutions to all questions. Graphs (if any) are also included.

    $2.49

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