Grade 9 : Math : Word problem on Function

 The function  models the population of rabbits on a farm after   with no removal. The function  models the number of rabbits removed from the population after . Which function,  , models the total number of rabbits on the farm after ?

Solution

f(x) = h(x) + g(x)

that is,

Total models population of rabbits with NO removal = models of rabbits removed from the population after x months + Total number of rabbits on the farm after x months

Let's substitute the given values in the above equation

Hence answer is h(x) = 2(2.0)^x