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26 July, 18:58

For the functions f (x) = 2x - 3 and g (x) = 5x + 5, find (f • g) (x).

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  1. 26 July, 19:07
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    f (g (x)) = 10x + 7

    Step-by-step explanation:

    (f. g) (x) = f (g (x)) is the composition of the functions f (x) and g (x).

    f (g (x)) means that g (x) becomes the input for f.

    Now, f (x) = 2x - 3 and g (x) = 5x + 5.

    f (g (x)) = f (5x + 5)

    = 2 ((5x + 5) - 3)

    = 10x + 10 - 3

    = 10x + 7

    f (g (x)) = 10x + 7 is the required answer.
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