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4 years ago

What does it mean to find the inverse of a function

Mathematics

1 answer:

goldenfox [79]4 years ago

5 0

In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x. Courtesy to Wikipedia

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An investment promises a return of 12% per year. Brody wants to figure out how much money he will have if he invest $1000 for 5,

jeka57 [31]

the exponential function f(x) = $1000(1.12)^x$

he invest $1000 for 5, 10, 15 years

5 years,

To find the amount of money he have , we plug in 5 for x and find out f(5)

f(x) = $1000(1.12)^x$

f(5) = $1000(1.12)^5$ = 1762.34

The amount of money he have after 5 years is 1762.34

10 years,

To find the amount of money he have , we plug in 10 for x and find out f(10)

f(10) = $1000(1.12)^10$ = 3105.85

The amount of money he have after 10 years is 3105.85

15 years,

To find the amount of money he have , we plug in 15 for x and find out f(15)

f(15) = $1000(1.12)^15$ = 5473.57

The amount of money he have after 15 years is 5473.57

f(5) = 1762.34

f(10) = 3105.85

f(15) = 5473.57

8 0

3 years ago

MULTIPLE CHOICE QUESTION What is the mean 11.65 11.85 11.45 11.25

dolphi86 [110]

11.45... to solve it, you add all of the numbers and then divide by the total number of numbers. so 126 divided by 11

4 0

3 years ago

Given: ABCD is a kite

STatiana [176]

If angleb is 120 then AC is 120*2 = 240. 360-240 = 120 , 120/2 = 60 . If AB = 60 , angle adb is 30 and angle bdc is 30. DB is 2 * radius because angleA is 90. So with Pisagor AB = 3 , BC = 3 , AD = 3root3 and DC is 3root3.

Answer is = 6+6root3 = 6(1 + root3)

7 0

4 years ago

$250, 2.85%, 3 years Simple interest

rosijanka [135]

Ok so you put I = 250 x .0285 x 3 and it gives you 21,375 then you add 21,375 with 250 and it gives you 21,625 that world be your answer

8 0

3 years ago

james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number

zalisa [80]

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

8 0

3 years ago