Answer:
Step-by-step explanation:
Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as 
, we are replacing the x values in the g(x) function with 2 and simplifying the expression.
Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.
Therefore, when we compose the functions, our final answer is 
.
11,05
Step-by-step explanation:
11 1/20
= (11 × 20 + 1)/20
= (220 + 1)/20
= 221/20 → times 5
= 1105/100
= 11,05
Answer:
110÷360×π×4.6^(2)= 20.312
Step-by-step explanation:
Area of sector = angle / 360 x π x r^(2)
For this case we have the following variables:
t: time in seconds.
f (t): height as a function of time.
By the time Grace reaches the pool, the height is equal to zero.
We have the following table:
Time (t) (in seconds) Height f(t) (in meters)
1 25
2 20
3 15
4 0
We observe that the height is equal to zero after 4 seconds.
Equivalently:
Answer:
the following represents the x-intercept of f(t):
Grace reaches the swimming pool after 4 seconds
