Functions

 

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.     

 

     At first glance, they look alike, sort of, but look closely at f(x)     

     and you'll see that there's a virgule between (x+5) and (x–7),     

     indicating division, but h(x) does not have a virgule.     

 

     f(x) is a division operation     

     h(x) is a multiplication operation     

_.