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insens350 [35]
3 years ago
13

F(x) = x^ - 81. Find f-^ (x)

Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Substitute f(x) with y.

y=x^2-81 (now switch the variables)
x=y^2-81 (solve for y)
x+81=y^2
Sqrt(x+81)=y

F^-1(x)=sqrt(81+x)

Hope I helped :)
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1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
Zarrin [17]

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
Plz help me with this questions and show working out thanks
Paraphin [41]

Answer:  The steps and answers to the first two are below but you need to understand slope  = change in y / change in x  = y2 - y1/ x2 - x1  

And you need to understand  y = mx + c  

m= slope   c is y intercept

Substitute either point given  - only use one as the x and y  and find c

Step-by-step explanation:

1.      You need to follow the steps -

          the point is given as  (2,5)  = (x,y)  

So what this means is  x =2 and y =5

Simple substitutions is the step  5   = 3 x 2 + c

                                                     5 = 6 + c  or easier to see is  c + 6 =5

subtract 6 from both sides   c +  6   =  5

                                                    -6      -6

                                           __________________

                                              c           =  -1

2.

 x1,y1           x2,y2

( 3,2)   and (5,6) are two points on the line  

you already calculate the slope which is   m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

                   y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

                  2  = 2 (3)  + c

                  2 = 6 + c

 subtract 6 from both sides

                  -4 = c

Now you should use this and do your last question  yourself

5 0
2 years ago
Sue scored a total of 35 points in 2 games she scored 6 X as many points in the second game as the first time how many points di
faust18 [17]

Answer:

1x+6x=35 7x=35 x=35 divided by 7 x=5 first game 5x6=30 second

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help on this math question? If you don't know how please don't answer :/
just olya [345]
4/x = 6/(x+3)
6x = 4(x+3)
6x = 4x + 12
2x = 12
  x = 6

P = (4 + 6) +(6+3) + 6
P = 10 + 9 + 6
P = 25
8 0
3 years ago
Justin has a savings account.
andrey2020 [161]

Answer:

220

Step-by-step explanation:

Multiply 15 times 10 =150

150+70=220

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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