input =9 output = 2 what is the function.

input = 27 output = 8 what is the function.

input = 42 output = 13 what is the function
input = 3 output = 0 what is the function.

f(x) = 28 x /126 or f(x) = x-7 or a zillion others will yield 2 if you put in 9 for x

What is the rest of the problem or are these all supposed to be one problem or what?

There's not enough information here to answer those. There are infinitely many functions that sent 9 to 2. For example, it could be f(x)=(x/3) - 1, f(x) = (x-1)/4, f(x) = x-7, f(x) = x^2 - 79, f^x = x^(1/2) - 1, f(x) = 2x-16, or any of infinitely many others. We need more than one input/output pair per function. The more, the better.

To determine the function that relates the given input and output values, we can look for patterns or relationships between the numbers.

In the first example, we have an input of 9 and an output of 2. By examining the numbers, we can observe that the output value is 1 less than half of the input value. Therefore, the function in this case could be represented as:

output = (input / 2) - 1

For the second example, we have an input of 27 and an output of 8. By examining the numbers, we can see that the output value is 1 less than the cube root of the input value. Therefore, the function in this case could be represented as:

output = ∛(input) - 1

In the third example, we have an input of 42 and an output of 13. Examining the numbers, we can notice that the output value is 1 less than the square root of the input value rounded down to the nearest integer. Therefore, the function in this case could be represented as:

output = ⌊√(input)⌋ - 1

Finally, in the fourth example, we have an input of 3 and an output of 0. The numbers here do not exhibit a simple pattern or relationship. Therefore, based on the given examples, it is not possible to determine a function that relates these values.