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:
8 students
Step-by-step explanation:
There are 20 boxes and there are a total of 40 students interviewed. So, each box is worth 2 students. Since blue has 4 boxes, 4*2 = 8 students chose blue as their favorite shoe color.
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Answer:
m<6 is 102°
Step-by-step explanation:
Angles that are supplementary are equal to a total of 180°.
Subtract the 78 from the 180 to find your answer.
180-78=102
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?
We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.
Area of a rectangle is Length multiplied by Width.
90 × 75 = 6,750
The area of the paving lot is 6,750 feet squared.
Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.
We can solve this by first taking the step to finding how many yards are in the paving lot.
A yard is 3 feet so we'll divide the area of the paving lot by 3.
6,750 ÷ 3 = 2,250
With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.
2,250 × 3.5 = 7,875
It should cost $7,875 dollars to pave the entire lot.
The number of games Ben predict Orioles will win this year is 64 games
<h3>How to find percentage?</h3>
- Percentage of games Ben believe the orioles will win = 40%
- Number of games Orioles played = 160
Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
Learn more about percentage:
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