We are told that f(x) = x + 2. We want to find .
Squaring f(x) on one side means we square x + 2 on the other.
So,
f(x) = x + 2
(f(x))² = (x + 2)²
= (x + 2)(x + 2)
We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.
= x² + 2x + 2x + 4
= x² + 4x + 4
So [f(x)]² = x² + 4x + 4
Answer:
(a)
(b)
(c)
Step-by-step explanation:
(a) when t = 44sec
s(44) ≅
(b) How fast the hammer is traveling i.e. the speed of the hammer.
To find speed, we differentiate the distance s(t) with respect to time, t
at t = 44sec,
≅
(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t
There's no need to substitute t = 44sec because the acceleration is independent of time.