let f (x) = sqrt x and g (x) = 3x+2. find the range of (f.g) (x)

Question

let f (x) = sqrt x and g (x) = 3x+2. find the range of (f.g) (x)

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RI SƠ 4 years 2021-08-20T00:25:21+00:00 1 Answers 8 views 0

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  1. Dau
    0
    2021-08-20T00:27:16+00:00
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    Answer:

    [0, infinity)

    Step-by-step explanation:

    Focus on f(x) = sqrt(x) first.  The domain of this function is [0, infinity), and the range is [0, infinity).

    The product (f*g)(x) is sqrt(x)*(3x + 2).

    This leads to the conclusion that the range of  (f.g) (x) is  identical to the range of sqrt(x), which is [0, infinity).

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