Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
The probability of getting at most 2 tails is 7/8
The given function is

with
t = time, hours
f = temperature, °C
Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53.
The period, T, is given by

Answer:
Maximum: 13°; Minimum: -53°; period: 4 hours
Answer:

Step-by-step explanation:
Given:

where,
T = total amount of waste
P = 50, the initial rate
k = 0.04
t = time

now we need to solve this integral!




when any number has a power of negative infinity it is 0. because:
, like something being divided by a very large number!


this is the total amount of waste
If five peppers cost $2.25 then you could buy 40 peppers with $18 dollars and have $2 left over