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it should have a fast way , the time given to solve such problem is average 2 min

that negative sign should really be there right, on the right side of the eqn

yes its there

is it C?

orr Data insufficient

@mathmath333 I always like your questions. Can I ask where do you get them from?

here is something we do know |dw:1435263889685:dw|

and every multiplication of 2 of them can be rewritten recursively

f(77)=9
f(83)=9^2
f(102)=?
and 9^3 is 729 if this turns up

it could be lol, i feel like the separation is too much cant write anythign recursively

27 is given as the answer.

okay lets see so
3^2, 3^3 and 3^4
for
f(77), f(77+4), f(77+6)

actually I think we get
\[(f(81))^2=729\]

let me post my work

can we do another question which we know doesnt have a typo xD

oh beauty

thats really cool, give me another one!

we already said that one thingy was 81
so you have
\[(f(81))^2=81 f(77)\]

well i only post the one's i stuck at, let's see if i have some tough ones

ok I'm here and looking now

yep good luck

I have to come back and look this one
crab time
sorry

i dont quite understand what does it mean
min(f(x),g(x))

it can also be done without graphing

oh ok i see now

example min(f(x),g(x)) for |dw:1435266966304:dw| f(x)=-x,g(x) =-x^2+5

|dw:1435267032841:dw|

i think to start off look at g1(x) = |x-8|
and g2(x) = |x+8|

this will give us a constant when 0<|x| < 8

it will be 16 in that domain

from -8 to 8

it looks line this|dw:1435267447526:dw|

yes exactly

|dw:1435267527733:dw|

|dw:1435267567368:dw|

u want the number of integers of x in that intersection?

|dw:1435267618964:dw|

between the intersection?

|dw:1435267649589:dw|

or just the min on the abs value?

well i m still confused on interpreeting the quetion let me think

ya me too the min(f(x),g(x)) still dunno what that means exacttllyy

anser given is 21

yeah there will be 2 more from the intersection on each side

we see
11^2-x^2=2x
x^2+2x-11^2=0
solve for the roots and see how many integers we can fit

17+4=21

it is not giving rational roots hmm

we just want to see the bound

yea we need to count the number line of x of the intersection part.

these are framed to confuse students majority are confuzing

lol thats annoying -.- they should confuse us with hard questions, not easy ones worded badly

my head spins now going to sleep

okay cya! thanks for the questions

thnks

|dw:1435268655727:dw|

|dw:1435268725528:dw|

like i didn't want to include the endpoints because I want h positive

and anything outside the interval I mentioned h would be negative

|dw:1435269002394:dw|

anyways just saying all of this just in case you guys were still confused on the h=min(f,g) thing