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.
To prove this, we can simply provide a counterexample. Let's input x=0. We see that for f(x)=(0+5)/(0-7), we have -5/7. For h(x), we have (0+5)(0-7)= -35.
Because -5/7 is not equal to -35, they are different functions.