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18 June, 07:09

which function has an inverse that is also a function? a. g (x) = 2x-3 b. k (x) = - 9x2 c. f (x) |x+2| d. w (x) = - 20

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  1. 18 June, 07:14
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    Step-by-step explanation:

    A function have the inverse only if it passes the horizontal line test,

    For the given options we need to look for the function which passes the horizontal line test

    Option A is g (x) = 2x-3 which is a straight line with slope not equal to 0 so it passes the horizontal line test and hence it will have an inverse which is also a function.

    Option B: we need to restrict the domain to get the inverse so the option B is not correct.

    Option C : It also fails the horizontal line test.

    Option D : Horizontal line so it also fails the horizontal line test.
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