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At first you have to take the derivative of f. Do you understand why is that?

yes I do, I got -9/x2

not really, can you lead me into solving this? what is the second step I should take?

Yes I got to this step, when I was trying to solve for x I got +- 3

but the answer that it should be is y=-x-6 and y = -x+6

so I must have done something wrong right?

Wait, you just found out one point in wich the line passes, it is not the answer yet

What you did so far is correct

oh ic
okay, so the other point is 3 since 9/x = y and x is 3 therefore y = 3 right?

or -3, but yes, thats correct

so now what's next?

use slope intercept form now

y = mx+b --> -3=-1x+b

sorry, I'm kinda slow at this point, how do I set this = to 9?

oh okay

I got it from here

I got it thanks so much for being so patience :)

Your welcome

can I ask you something else?

Of course

same type of problem but it's f(x) = square root of (x+9)

slope 1/2
I did the derivatives and solve for x I got x= -1

but the answer should be y=1/4+13/4
where did I do wrong?

You got the x wrong.

Or the derivative

original fx is sqrt(x=9)
derivative is 1/2(x+9)^1/2

Where did I do wrong.

its (1/2)(x+9)^(-1/2)

Yes i got that.. But solving for x=-1

Well, thats wrong, did you see the minus, in the exponent?

No i said that mine is 1/{2(x+9)^1/2 same thing

the slope is 1/4 not 1/2

Can you go from there?

let me try to do calculation, I did the calculation but got +/- 2 sqrt 2.. give me 1 minute please

Sure

I'm almost leaving actually, but I'm here almost every day.

quick question on solving this problem
\[z(4z+7) - x(4x+7) / (z-x)\]

I can combine (z-x) then cancel top and bottom right?

so what is have left is (4z+7) * (4x+7) right?

oh maybe that's why. thanks