Answer:
Correct option is:
{4,7}
Step-by-step explanation:
The range of the function f(k) = k² + 2k + 1 is {25, 64}.
i.e. k²+2k+1 can take only two values either 25 or 64
When k=5 ,k²+2k+1=36
when k= -5 ,k²+2k+1=16
when k=8 ,k²+2k+1=81
Hence, domain set cannot contain the points 5,8 and -5
The only option that do not contain any of these numbers is:
{4,7}
Also when k=4 , k²+2k+1=25
and when k=7 , k²+2k+1=64
Hence, Correct option is:
{4,7}
