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7 November, 10:52

For all the values of x, f (x) = 2x (squared) g (x) = x+1 solve fg (x) = gf (x)

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  1. 7 November, 12:26
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    Value of x for fg (x) = gf (x) at f (x) = 2x² and g (x) = x+1 is x = - 1/4.

    Step-by-step explanation:

    We have, f (x) = 2x² and g (x) = x+1

    Now, f (g (x)) = g (f (x))

    ⇒ 2 (x+1) ² = 2x² + 1

    ⇒ 2 (x² + 2x + 1) = 2x² + 1

    ⇒ 2x² + 4x + 2 = 2x² + 1

    ⇒ 4x = - 1

    ⇒ x = - 1/4
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