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20 September, 20:06

Which statement could be used to explain why fx) = 2x - 3 has an inverse relation that is a function?

The graph of f (x) passes the vertical line test.

f (x) is a one-to-one function

The graph of the inverse of f (x) passes the horizontal line test.

f (x) is not a function.

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  1. 20 September, 20:32
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    f (x) is a One-one function

    Step-by-step explanation:

    A function can only have an inverse function if it is one-one.

    In order for a function to be one-one it has to pass the horizontal line test.

    In other words an equation like f (x) = x^2

    If you check the graph of this function you would find that it is in the shape of a parabola. In other words, more than one x-value has the same y-value. For example, x=2 and x = - 2. You would find that both values give the same y-value, 4. So in this case f (x) would not pass the horizontal line test and would not be a one-one function, hence not making it an inverse.
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