CAT 2000 | Question: 107

633 views

For all non-negative integers $x$ and $y, f(x, y)$ is defined as below

• $f(0, y) = y + 1$
• $f(x + 1, 0) = f(x, 1)$
• $f(x + 1,y + 1) = f(x, f(x + 1, y))$

Then, what is the value of $f(1, 2)?$

1. Two
2. Four
3. Three
4. Cannot be determined

Related questions

Answer the following question based on the information given below.For real numbers $x, y,$ let$f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\... 0 votes 0 answers 2 486 views Answer the following question based on the information given below.For three distinct real numbers$x, y$and$z,$let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x...
Answer the following question based on the information given below.For three distinct real numbers $x, y$ and $z,$ let$f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x... 0 votes 0 answers 4 391 views Answer the following question based on the information given below.For a real number$x,$letf(x)= 1/(1 + x),if x is non-negative = 1+ x,if x is negativef$^n$(x)= f(f$^{n...