Question

find f(x+h) where f(x)=x-3 and h(x)=x+2

Answer 1

Would it be f(x+x+2)?

Answer 2

So then (x-3)+(x-3)+2?

Answer 3

Can you still help me?

Answer 4

It says to simplify the answer if it needs it...but that's it :)

Answer 5

Can you do anything to reduce it, or is that it?

Answer 6

So it isn't like f(x+10) or something like that, where you can still solve it further?

Answer 7

it isn't f((x-3)^2)+2)

Answer 8

Usually if f(x)=2x+6 (say) then f(x+h) = 2(x+h) +6 and h(x) is irrelevant,

Are you doing some beginning calculus and learning about limits?

Answer 9

it is the class before pre-calc...

Answer 10

In the form that you asked the question .
F(x+h) = x+h -3

Answer 11

how?

Answer 12

I replaced the "x" in the original function with "x+h".

Answer 13

explain...?

Answer 14

\[f(x) = x- 3\]

Here replace x with x + h

Answer 15

What answer were you trying to get for this question?

Answer 16

\[f(x+h) = (x+h) - 3\]

Answer 17

Are you sure your question is not this :

Find f(x) + h(x) ??

Answer 18

Or even f(h(x))?

Answer 19

it is f(x+h)

Answer 20

Then my answer agrees with waterineyes

Answer 21

but why do I replace the x with x+h?

Answer 22

See, f(x) = x - 3 (it simply means that f(x) is function of x)

See : for x = 1 f(x) = 1 - 3 = -2
for x = 2, f(x) = 2 - 3 = -1
for x = 3 f(x) = 3 - 3 = 0

Here you can see f(x) depends upon x..

As x changes f(x) changes...

Answer 23

And now f(x+h) means f(x+h) depends upon x + h:

So to find it f(x) you have earlier, here if we add h to it then it will become function of x + h :

So :

replace x by x + h..

f(x) = x - 3
replace :

f(x+h) = (x+h) - 3

Answer 24

ok...I think that I get it...