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3 years ago

Let f(x) = x2 − 16. find f−1(x). open study

2 answers:

6 0

+√(x+16) = f^-1(x).

Switch out f(x) with y
Swap y and x, so it's x=y^2-16
Add 16 to both sides. x+16=y^2
Find the square root of both sides...
√x+16 = √y^2

Bogdan [553]3 years ago

5 0

Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y

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A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 2 h. After both drains have be

Over [174]

Answer:

Step-by-step explanation:

Let X be the time for only a small drain, the work completed would be unity.

The small drain has been open for a total of 11 hours, one hour next to the large one, and 10 hours alone.

We have that large drainage can accomplish this in 2 hours.

We have the following system:

1/2 + 11 / x = 1

solving, we have:

11 / x = 1 - 1/2

11 / x = 1/2

x = 11 * 2

x = 22

I mean it would take a total of 22 hours for the small drain alone

5 0

3 years ago

Read 2 more answers

Solve F=D+Drt for t.....

Anuta_ua [19.1K]

Answer:

$t = \frac{-D+F}{Dr}$

Step-by-step explanation:

Step 1: Flip the equation.

$Drt + D = F$

Step 2: Subtract D from both sides.

$Drt + D - D = F - D$
$Drt = -D + F$

Step 3: Divide both sides by Dr.

$\frac{Drt}{Dr} = \frac{-D+F}{Dr}$
$t = \frac{-D+F}{Dr}$

6 0

3 years ago

The cost of a computer is $849. The store is offering a 20% discount, and then a sales tax of 6% is added after the discount. WH

Alex_Xolod [135]

Answer:

$719.95

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount. This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

3 0

3 years ago

I need help.. 1. 4(7p+8) 2.-7(2+8s) 3.-8(-6d+3)

Advocard [28]

1. 28p + 32

2. - 56s - 14

3. 48d - 24

#thanks for the points!

#Chloe919 

#carry on learning

8 0

3 years ago

A car averages 28.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 415 km? Some conversi

GrogVix [38]

Answer:

34.22 liters

Step-by-step explanation:

Step one:

Given data

A car averages 28.5 miles per gallon of gasoline

How many liters of gasoline will be needed for a trip of 415 km

let us convert 415km to miles first

1 km is 0.621371 miles

415km is x miles

cross multiply we have

x= 415*0.621371

x=257.86 miles

Step two:

if 1 gallon of gasoline will cover 28.5 miles

the x gallons will cover 257.86 miles

cross multiply we have

28.5x= 257.86

divide both sides by 28.5

x= 257.86/28.5

x=9.04 gallons

Step three:

let us convert gallons to liters

1 gallon is 3.78541 liters

9.04 gallons will be x liters

cross multiply we have

x=9.04*3.78541

x= 34.22 liters

5 0

3 years ago