Gackhammer said:As long as you mean g(f(x)) and w(g(f(x))), then you have the right answer
HallsofIvy said:Yes, what you have is correct. More generally, with f(x)= 2x+ 3, g(x)= x+ 2, and [itex]w(x)= x^2+ 3[/itex], [itex]g(f(x)= (2x+ 3)+ 2= 2x+ 5[/itex] and [itex]w(g(f(x)))= (2x+ 5)^2+ 3= 4x^2+ 20x+ 28[/itex].
Evaluating that at x= 2 gives 4(4)+ 20(2)+ 28= 16+ 40+ 28= 84.
Yes, there are several methods that can be used to determine if a function is correct. One common approach is to test the function with a variety of input values and compare the output to the expected results. It can also be helpful to check for edge cases and potential errors in the function's code.
The efficiency of a function can be evaluated by analyzing its time and space complexity. This includes looking at the number of operations performed and the amount of memory used. Generally, a more efficient function will have a lower time and space complexity.
Yes, a function can be technically correct but still produce unexpected results. This can occur if the function is not handling all possible input values or if there are errors in the logic of the function. It is important to thoroughly test a function to ensure it is producing the desired results.
While documentation is not required for a function to be considered correct, it is highly recommended. Proper documentation can help others understand the purpose and functionality of the function, making it easier for them to use and maintain in the future.
If you are unsure about the correctness of your function, it is best to seek feedback from others. This can include asking for help from colleagues or consulting with a more experienced programmer. It can also be helpful to review the function's code and test it with different input values to identify any potential errors.