All categories

2 years ago

F(x)=2x+1/x-1 then f^-1(1)

Mathematics

1 answer:

olasank [31]2 years ago

6 0

Answer:

f⁻¹(x) = (x + 1) / (x - 2)
f⁻¹(1 ) = - 2

Step-by-step explanation:

Given function:

f(x) = (2x + 1) / (x - 1)

Find its inverse, substitute x with y and f(x) with x, solve for y:

x = (2y + 1) / (y - 1)
x(y - 1) = 2y + 1
xy - x = 2y + 1
xy - 2y = x + 1
y(x - 2) = x + 1
y = (x + 1) / (x - 2)

Substitute y with f⁻¹(x):

f⁻¹(x) = (x + 1) / (x - 2)

Find f⁻¹(1 ):

f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2

You might be interested in

ARE all spheres similar to each other?

Paul [167]

Due to the nature of spheres, they are all similar to each other.

7 0

3 years ago

Read 2 more answers

The owner of a small store buys coats for $60.00 each. He sells the coats for $96.00 each. What percent of the purchase price

Sliva [168]

The sale price of the coats is 160% of the purchase price of the coats.

Step-by-step explanation:

The owner buys the coats at a purchase price= $60

He sells the coats for a selling price= $96

Now, the question is:

The selling price $96 is what percentage of the purchase price $60

step 1: 96= x% of 60

step 2: 96= (x/100)*60

step 3: 96= 6x/10

step 4: 960/6 = x

step 5: x = 160%

3 0

3 years ago

1. _____ any push or pull on an object

borishaifa [10]

1. Force any push or pull on an object. 2. Displacement is an object changing position over time.

5 0

3 years ago

The least total cost method (LTC) lot-sizing technique calculates the order quantity by comparing the carrying cost and the setu

rewona [7]

Answer:

True

Step-by-step explanation:

The least total cost method is the method in which the total cost of the ordering cost and the total carrying cost is equal among various lot size available.

The order quantity should be choose when the total ordering cost and the total carrying cost equal to each other

The formula to compute the economic order quantity is shown below:

a. The computation of the economic order quantity is shown below:

$= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}$

It is always be expressed in units

The formula to compute the ordering cost is

$= \frac{Annual\ demand}{Economic\ order\ quantity}\times ordering\ cost\ per\ order$

And, the formula to compute the carrying cost is

$= \frac{Economic\ order\ quanity}{2}\times carrying\ cost\ per\ unit$

Hence, the given statement is true

8 0

3 years ago

Simplify. f-1g-1 a. f/g b.g/f c.1/fg d.fg

fiasKO [112]

You can rewrite this equation as "f - g - 1". That's all that I see that you can do with this.

4 0

3 years ago

F(x)=2x+1/x-1 then f^-1(1)​

F(x)=2x+1/x-1 then f^-1(1)