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.

Guest Dec 23, 2022

#1**0 **

The two functions f(x) and h(x) can only possibly be equal if (x + 5) and (x - 7) are both equal to one. This is clearly impossible. Function h(x) is taking a product of the two binomials, while function f(x) seeks the quotient.

In simpler terms, one is multiplying them, while the other is dividing them.

Guest Dec 24, 2022

edited by
Guest
Dec 24, 2022