Derivatives question

[Antman059]

I recently completed a math test and got the bonus question wrong and was wondering if I could see what I did wrong it has me really thinking, so I would like a second opinion

here is the question

If f(x) = 32 (10x - 6) (????????)^7 , what is the original function f(x) ?

 

[Ishuda]

I recently completed a math test and got the bonus question wrong and was wondering if I could see what I did wrong it has me really thinking, so I would like a second opinion

here is the question

If f(x) = 32 (10x - 6) (????????)^7 , what is the original function f(x) ?

As presented, there are only an infinity of answers. If you would like to narrow it down a bit, you might provide some more information. For instance, if the missing number [that is, assuming it is a number and not another (or the same) variable] were an integer, you could narrow the answer down to just a countable infinity. Of course if my assumption is incorrect, you might still be left with an uncountable infinity of answers. I would say it is likely that one function value for a given x just might narrow the number of answers to two functions which any other solutions are equivalent to since you have indicated that the function is of a single variable,

 

[Steven G]

I recently completed a math test and got the bonus question wrong and was wondering if I could see what I did wrong it has me really thinking, so I would like a second opinion

here is the question

If f(x) = 32 (10x - 6) (????????)^7 , what is the original function f(x) ?

Might you meant that f '(x)= 32 (10x - 6) (????????)^7. Even then, as Ishuda pointed out, there are an infinite number of functions that would work.