Answer :
Answer:
42
Step-by-step explanation:
Let, f(x) = x² + kx + 5 + k
f(2) = 2² + k.2 + 5 + k
= 9 + 3k
by the question,
9 + 3k = 15
or, 3(k+3) = 15
or, k+3 = 5
or, k = 2
so, f(x) = x² + 2x + 5 + 2 = (x² +2x + 7)
now, f(5) = 5² + 2×5 + 7 = 25 + 10 + 7 = 42 [Ans.]