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stealth61 [152]
2 years ago
6

Find the inverse of f(x)= -x + 3

Mathematics
1 answer:
inna [77]2 years ago
4 0
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
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Answer:

1,320 seconds or 22 minutes to walk 1 mile

Step-by-step explanation:

5280 feet (1 mile) ÷ 4 feet per second = 1,320 seconds or 22 minutes

3 0
3 years ago
The width of a rectangle measures (6.9a+8.5)(6.9a+8.5) centimeters, and its length measures (3.8a+9.8)(3.8a+9.8) centimeters. Wh
Colt1911 [192]

Answer:

P = (21.4a+36.6) cm

Step-by-step explanation:

Given that,

The width of a rectangle, b = (6.9a+8.5) cm

The length of a rectangle, l = (3.8a+9.8) cm

We need to find the perimeter of the rectangle. Perimeter is the sum of all sides. So,

P = 2(l+b)

Put all the values,

P = 2(6.9a+8.5+3.8a+9.8)

= 2(6.9a+3.8a+8.5+9.8)

= 2(10.7 a+18.3)

= (21.4a+36.6)

So, the perimeter of the rectangle is (21.4a+36.6) cm.

5 0
3 years ago
Suki split five dog treats equally among her six dogs. which fraction represents this division
STALIN [3.7K]

Answer:

5/6

Step-by-step explanation:

You only have 5 dog treats and there's 6 dogs, you have to divide the 5 dog treats among the 6 dogs so the 5 goes on the top, because that's what you're dividing.

7 0
2 years ago
Fifty-two of 80 marbles are red. What percent of the marbles are red?​
Kobotan [32]

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65% of the marbles are red.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in
Ipatiy [6.2K]

Answer:

A=\$584.88  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

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we have  

t=3\ years\\ P=\$396\\ r=0.13  

substitute in the formula above  

A=\$396(e)^{0.13*3}=\$584.88  

3 0
3 years ago
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