Kapil Khare
Last Activity: 6 Years ago
Since, the given relation is true for all x and y then we can put any real value in place of x and y.
Put x = y = 1, then
f(2) – a = f(1) + b

32 – 8 = a + b

a + b = 24
Put x=1 and y=0, then
f(1) – a = f(1)

a = 0

b = 24

f(x+y) = f(x) + 24y
2
Put x=0 and y=1, then
f(1) = f(0) + 24

f(0) = –16
Put y=z and x = 0, then
f(z) = f(0) + 24z2

f(z) = 24z
2 – 16
A) The age of S1 = a = 0
The age of S2 = b = 24
B) The function f(x) = 24x2 – 16