Question

Given f(n) = 3n - 3 and k(n) = n - 1, find k(f(7)).

a) 20
b) 15
c) 18
d) 11

Answer 1

The value of ( k(f(7)) ) is 17. None of the options is correct.

Explanation:

To find ( k(f(7)) ), we first need to find the value of ( f(7) ) and then use that result as the input for the function ( k(n) ).

Given:

The concept used here is the composition of functions, where the output of one function is used as the input for another function.

[ f(n) = 3n - 3 ]

[ k(n) = n - 1 ]

First, evaluate ( f(7) ):

[ f(7) = 3(7) - 3 = 21 - 3 = 18 ]

Now we use the result ( f(7) = 18 ) as the input for the function ( k(n) ):

[ k(f(7)) = k(18) = 18 - 1 = 17 ]

The value of ( k(f(7)) ) is 17.

Thus, none of the options is correct.