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17 August, 03:11

For the functions f (x) = -10x+15 and g (x) = 3x+5 find the following.

(fcircle◦ g) (x) and its domain

(gcircle◦ f) (x) and its domain

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  1. 17 August, 06:28
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    (fcircle◦ g) (x) : - 30x - 35. domain: (-infinity, + infinity)

    (gcircle◦ f) (x) : - 30x + 50. domain: (-infinity, + infinity)

    Step-by-step explanation:

    The circle simply means to replace the x in the function with the other function. The domain is the x values. Since both of these equations are linear, it's negative infinity to infinity.

    (fcircle◦ g) (x) : - 10 (3x + 5) + 15

    -30x - 50 + 15

    -30x - 35

    (gcircle◦ f) (x) : 3 (-10x + 15) + 5

    -30x + 45 + 5

    -30x + 50
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