Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
The given functions are:


It's required to find f( g( 2 ) )
Find g(2):

Operating:

g(2)=1
Now find f(1):


Thus:
f( g( 2 ) )=7
Answer:
The indefinite integral
=
ˣ
⁺ C
Step-by-step explanation:
x= 10sinθ
dx = 10cosθdθ
the step-to-step explanation is in the attachment
Answer:
T = 530N + 250
Step-by-step explanation:
For the first plan, Heather will deposit $250 and then save $135 per month.
So, that is 250 + (135 x N) where N is the number of months she saves the $135.
So if it is for 3months,
We will have:
t¹ = 135N + 250
= 250 + (135 x 3)
= 250 + 405
= $655
For the second plan, there is no initial deposit, but she will save $395 per month.
That is 395 x N
t² = 395N
For 3months, we have 395 x 3 = $1185
Therefore the total for both plans in 3months = 655 + 1185 = $1840
Equation relating T to N
T = t¹ + t²
T = (135N + 250) + 395N
T = 135N + 250 + 395N
T = 530N + 250
Answer:
B and D are the correct answers.
Step-by-step explanation: