Can somebody elaborate a math concept? (function)

<p>I never fully understood function, persay. It seems like whenever there is a number in front of the f(x), anything goes.</p>

<p>I can't remember the exact context of the problem in the bluebook, but the problem was something like this: 3f(p)=15p. I would think the answer would be f(p)=5p, but instead it's 45p. Why would I multiply instead of divide? </p>

<p>Thanks a bunch.</p>

<p>Either you remember the question wrong or the book is wrong.</p>

<p>I think you mean why 3[f(p)]=45p…?</p>

<p>I am trying to guess the question first: Probably the questions says, given f(p)=15p, find
f(3p). Note that f(3p) means, all the “p” variables in the definition of the function is replaced by the new variable “3p”. For example, f(t)=15t, f(flower)=15(flower), f(dog)=3(dog), etc.
Therefore, f(3p)=15(3p)=45p.</p>

<p>Anything else, please feel free to ask.</p>

<p>Good luck!</p>

<p>Judging by the responses, it appears to be the general consensus that when there is a number in front of the y, you can just divide it (rather than multiply on the other side). Hmm, guess I must’ve read wrong.</p>

<p>Thanks for the responses!</p>