Let g the inverse function of f.
The most important property of g and f being inverses of each other, is that
g(f(x))=x, also f(g(x))=x
so, what one function 'does' to x, the other 'undoes' it.
Thus, we have:
f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule
thus :
-g(x)+3=x
-g(x)=x-3
g(x)=-x+3
check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x
Answer: the inverse of f is g, such that g(x)=-x+3
Answer:
<u>There are 60 toddlers in the preschool class</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Percentage of the toddlers in a preschool class drink water with their lunch = 5
Number of the toddlers in a preschool class drink water with their lunch = 3
2. How many toddlers are in the class?
We'll solve the question, using the Direct Rule of Three, this way:
Percentage Toddlers
5 3
100 x
*******************************
5x = 3 *100
5x = 300
x = 300/5
x = 60
<u>There are 60 toddlers in the preschool class</u>
19 27 28 29 30 315 64 29 46 is the
\
Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4
