if F(x)=1/x+2 what is F(3+h) ????

Question

anonymous · Answer

i have no clue. i dont even know where to start

calculusfunctions · Answer

Is it$$f(x)=\frac{ 1 }{ x }+2$$OR$$f(x) =\frac{ 1 }{ x +2 }$$Either way f(3 + h) requires you substitute 3 + h for x in f(x).

anonymous · Answer

the second one

calculusfunctions · Answer

Alright so then go ahead and perform the substitution like I said.

anonymous · Answer

i honestly dont know what i am doing :(

michele_laino · Answer

@kimmykaht  please, perform this substitution:
x=h+3, in your function f(x)

calculusfunctions · Answer

Do you understand? For example, suppose we have some function$$f(x) =\frac{ x }{ x +3 }$$And we require f(1 + a). Then$$f(1+a)=\frac{ 1+a }{ 1+a +3 }$$$$f(1+a)=\frac{ 1+a }{ 4+a }$$You see all I did there was replace every x in the original equation with 1 + a. Now you try!!

anonymous · Answer

am i solving for h?

anonymous · Answer

h=1-15f?

calculusfunctions · Answer

NO! Did I solve for a in my example??

anonymous · Answer

... geez sorry

anonymous · Answer

im obviously not intelligent

anonymous · Answer

math is hard for me, that is why i am seeking help

calculusfunctions · Answer

No need to apologize. I wasn't angry or implying a lack of patience. I don't think that you're not intelligent.

anonymous · Answer

so what did i do wrong?
if im not suppose to solve for h, what do i do?

calculusfunctions · Answer

Did you look at my example and try to follow it?

anonymous · Answer

never mind, i figured it out... its $$\frac{ 1 }{ h+5 }$$

calculusfunctions · Answer

Yes! That is exactly what I have been trying to convey to you.