A ) The domain:

x ≤ -4 and x≥ 4 or: x ∈ ( - ∞ , - 4 ) ∪ ( 4 , + ∞ )
b ) f ` ( x ) =

c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) =
m = - 3/34
Answer: 9
Step-by-step explanation:
Answer:
y = 4
Step-by-step explanation:
Substitute the input x = - 4 into the function and evaluate for y
y =
× - 4 + 6
= - 2 + 6
= 4
To find the length of the hypotenuse we must use Pythagoras' Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and a and b are side lengths
c^2 = a^2 + b^2
c^2 = 12^2 + 35^2
c^2 = 144 + 1225
c^2 = 1369
c = 37 cm