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f(5)= 3(5)-4 f(5)= 15-4 f(5)= 11
Thank you! I suck at functions..
Would you mind doing another one with me?
f(some number) just means to plug in that number wherever you see "x", and simplify. That will give you the function value, "evaluated at x". @kdekle showed you how to do this above. Why not try your next problem yourself, and then just post what you did, and someone can tell you if you're right? I bet you can do it! :)
It has two letters now though, and i dont know where to begin. What is the value of f[g(5)] for the functions f(x) = 2x + 1 and g(x) = 2x - 5?
Does x just equal five in both of them?
no you start from the inside and work out. so the inside says g(5). so Work out 2(5)-5. Now THAT answer is the x value in f.
That one looks a little bit different... but it isn't really. :) Just do it in two steps. 1. find g(5) (just like how you did f(5) above, except you'll use g(x) and plug in 5 for x) 2. Once you have g(5), which is just going to be some number, plug THAT number into f(x) for x and proceed as before! :)
2(5)-5 10-5 5 2(5)+1 10+1 11 ?
Awesome(: Thanks!!! I wish i could give both of you medals):
Remember, when you see f(something) (or g(something) or t(something) or Q(something).... the point being, it does not matter what letter is used to "name" the function, that's just a name)..... what it means it to take the "rule" that is given to define f, and plug in the (something) for the variable. So in this case, where you have f[g(5)], the "something" that is to go into f, is g(5). So first you need to find g(5), which you do by using the rule for g(x), with x=5. :)
You're welcome, and no problem, @kdekle got you started and I just gave an "assist", lol. :)