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# Functions

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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 20, 2022

#1
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$$f(x) = {x+5\over x-7}$$

$$h(x) = (x + 5)(x-7)$$

These two functions are obviously not the same because when you give quantity x + 5 = a, and x - 7 = b, a/b is not equal to ab, unless a is 0 which is conditional and not for all values of x. The two functions only intersect when x is -5 at first glance, and they do not overlap each other consistently so they are not the same function.

Dec 21, 2022