If f (0, y) = y + 1, and f(x +1, y) = f (x, f(x, y)). Then, what is the value of f(1,2) ? (CAT 2000) Options: A . &nbsp 1 B . &nbsp 2 C . &nbsp 3 D . &nbsp 4 E . &nbsp 22

If f (0, y) = y + 1, and f(x +1, y) = f (x, f(x, y)). Then, what is

Question

If f (0, y) = y + 1, and f(x +1, y) = f (x, f(x, y)). Then, what is the value of f(1,2) ? (CAT 2000)

Answer: Option D
:
D

SOLN:(d)

f (x + 1, y) = f(x, f(x, y))

put x = 0, f (1, y) = f(0, f(0, y)) = f(0, y + 1)

= y + 1 + 1 = y + 2

Put y = 2, f (1, 2) = 4.

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