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.
+1632 \(f(x) = {x+5\over x-7}\)
\(h(x) = (x + 5)(x-7)\)
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.
