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11 March, 10:17

If f (x) = x2 + 5, which expression represents f (x + 1) ?

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  1. 11 March, 10:32
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    f (x + 1) = x^2 + 2x + 6

    Step-by-step explanation:

    To find f (x + 1), we substitute (x + 1) for x in f (x) = x^2 + 5:

    f (x + 1) = (x + 1) ^2 + 5, or

    = x^2 + 2x + 1 + 5, or

    f (x + 1) = x^2 + 2x + 6
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