Given:
The function is:
To find:
The value of 
.
Solution:
We have,
Putting 
, we get
On combining like terms, we get
Therefore, the required function is .
We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
Answer:
uhm idk..... it's 4 quarters, or 100 pennies, or 10 dimes, or 20 nickels
i don't know what ur asking sorryyyy
Step-by-step explanation:
(f-g) (x) means to subtract g(x) from f(x)
F(x) = 2x^2 +3
g(x) = x^2
This becomes:
2x^2 + 3 - x^2 = x^2 +3
48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease
