Its easier to ask somebody face-to-face dude
There are 2 ways that spring to mind.
One is to use the definition of the derivative at a point:

In this case,
and
. Then

- - -
If you don't know about derivative yet (I would think you do, considering this is for a midterm in AP Calc, but I digress), the other way is to rely on algebraic manipulation. Multiply the numerator and denominator by the conjugate of the numerator to get

This is continuous at
, so the limit is the value of the expression at
:

Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
Step-by-step explanation:


Given the information above, we can simply set up an equation so we can find the value of x.

Subtract 42 on both sides.

Divide 14 on both sides.

So, the value of x is equal to -1/2 when f(x) is 35.