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docker41 [41]
2 years ago
8

The inverse, f'(x), of f(x) =

Mathematics
1 answer:
astraxan [27]2 years ago
7 0

Step-by-step explanation:

Given

f(x) =  \frac{x + 5}{x}

So

f(2) = \frac{2 + 5}{2}  \\  =  \frac{7}{2}

Now

{f}^{ - 1} (x) =  \frac{5}{x - 1}

So

{f}^{ - 1} (2) =  \frac{5}{2 - 1} \\  =  \frac{5}{ 1}   \\  = 5

Hope it will help :)❤

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What is the slope of a line parallel to the line whose equation is x-y=-3?
lapo4ka [179]

Answer:

1

Step-by-step explanation:

slope must be same because it is paralel

6 0
2 years ago
Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries
Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = \frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\

Percentage change in price =

\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

7 0
3 years ago
Factor x2 – 6x – 7.
SpyIntel [72]
You can make an cb chart. so to equal -6 you need the numbers -7, 1. so now the equation is ( x - 7 )( x + 1 ). if you want to solve it set it equal to 0 and solve. 
5 0
3 years ago
Can someone please help. Please show work
FinnZ [79.3K]

Answer:

11. parallelogram, rectangle

12. parallelogram, rhombus

13. parallelogram, square

5 0
3 years ago
Read 2 more answers
Solve the equation.
Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

 ( x-7) ^ 1/3 = 3

Cube each side

 ( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

8 0
3 years ago
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