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4 September, 01:36

Suppose that the functions u and w are defined as follows.

u (x) = x^2 + 6

w (x) = square root of x+1

Find the following ...

(u•w) (3)

(w•u) (3)

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Answers (1)
  1. 4 September, 02:13
    0
    (u•w) (3) = 10

    (w•u) (3) = 4

    Step-by-step explanation:

    u (x) = x² + 6

    w (x) = √ (x + 1)

    (u•w) (x) = u (w (x))

    (u•w) (x) = (w (x)) ² + 6

    (u•w) (x) = (√ (x + 1)) ² + 6

    (u•w) (x) = x + 1 + 6

    (u•w) (x) = x + 7

    (u•w) (3) = 3 + 7

    (u•w) (3) = 10

    (w•u) (x) = w (u (x))

    (w•u) (x) = √ (u (x) + 1)

    (w•u) (x) = √ (x² + 6 + 1)

    (w•u) (x) = √ (x² + 7)

    (w•u) (3) = √ (3² + 7)

    (w•u) (3) = 4
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