That's again the derivative at 2, so the answer is A. 4. Hard way:
f(x)=x²
f(2)=4
f(2+h) = (2+h)² = 4 + 4h + h²
f(2+h) - f(2) = 4h + h²
(f(2+h)-f(2))/h = 4 + h
Limit is 4.
Answer: A. 4
Answer: B
Step-by-step explanation:
y = mx + mc
The perpendicular will have slope -1/m and intercept mc, which is
y = (-1/m)x + mc
For the answers you have to factor out a -1/m from both terms:



Divide both sides by 2
|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always
so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4
x-3>
add 3
x>7
x-3<-4
add 3
x<-1
so
-1>x and x>7
so basically it is all numbers from -∞ to +∞ except from -1 to 7
in interval notaion
(-∞,-1)U(7,∞)
S={x|x<-1 or x>7}