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The functions f and h are defined as follows:

f(x) = (x + 5)/(x - 7)  and h(x) = (x + 5)(x - 7).

 

Explain why the functions f and h are not the same function.

 Dec 30, 2022
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We can use proof by contradiction here

We can first assume first that they are the same function, which means that for every single x value there is the same y value. It is easy to see that is not the case here, for example if f(5) is -5, while h(5) is -20. Because of this, that means the statement we assumed at the beginning must be false, so they are not the same function.

 Dec 30, 2022

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