Recursive Functions

If $f(x) = x + f(x-2)$ when $x > 1$, $f(0) = 0$, and $f(1) = 1$, what is $f(7)$?

If $f(x) = 2 \cdot f(x-1) - f(x-2)$ with $f(0) = 3$ and $f(1) = 5$, what is $f(5)$?

If $f(x,y) = f(x-1,y) + f(x,y-1)$, $f(0,y) = y$, $f(x,0) = x$, find $f(2,3)$.

If $f(x) = f(x-1) + f(x-3)$, $f(1) = 1$, $f(2) = 1$, $f(3) = 1$, find $f(7)$.

If $h(x) = h(x-1) \cdot h(x-2)$ with $h(1) = 2$ and $h(2) = 3$, what is $h(5)$?

If $f(n)$ returns $f(n/2) + 1$ when $n > 1$, and $f(1) = 0$, what is $f(32)$?

If $f(n) = f(n-1) + 2n - 1$ and $f(1) = 1$, find $f(6)$.

If $f(n) = n \cdot f(n-1)$ and $f(1) = 1$, find $f(6)$.

If $f(x) = 3 \cdot f(x-1) + 2$ and $f(0) = 1$, find $f(4)$.

If $g(x) = g(x-1) + 2 \cdot g(x-2)$ and $g(0) = 1$, $g(1) = 1$, find $g(5)$.

If $f(x) = 2$ when $x \leq 0$, and $f(x) = f(x-1) + f(x-3)$ otherwise, find $f(5)$.

If $f(a, b)$ returns $a$ when $b = 0$, and returns $f(a + 1, b - 1)$ otherwise, find $f(3, 4)$.