All categories

3 years ago

Use f(x) = 1/2x and f -1(x) =2x to solve the problems. f−1(f(x)) = f(f−1(x))

Mathematics

2 answers:

irakobra [83]3 years ago

7 0

Answer:

f(2) = 1

f−1(1) = 2

f−1(f(2)) = 2

Step-by-step explanation:

on edge

Kipish [7]3 years ago

3 0

Hello,

f^(-1)(f(x))=f^(-1)(1/2 * x)=2*(1/2 * x)=(2*1/2)*x=1*x=x
f(f^(-1)(x))=f(2x)=1/2* (2x)=(1/2*2)*x=1*x=x

You might be interested in

One rectangle has a base of 12 inches and an altitude of 6 inches. The other has a base of 10 inches and an altitude of 5 inches

guajiro [1.7K]

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

<u>Step-by-step explanation:</u>

For first rectangle, it was given that

Base 1 = 12 inches

Altitude 1 = 6 inches

For the second rectangle, it was given that

Base 2 = 10 inches

Altitude 2 = 5 inches

Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.

Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

7 0

3 years ago

Solve for x in terms of r, s and t : s=2x+t/r

Anna007 [38]

For this case we have the following equation:

$s = \frac {2x + t} {r}$

We must clear the value of the variable "x" as a function of r, s and t:

If we multiply by "r" on both sides of the equation we have:

$rs =2x + t$

If we subtract "t" on both sides of the equation we have:

$rs-t = 2x$

If we divide by "2" on both sides of the equation we have:

$x = \frac {rs-t} {2}$

Thus, the value of the variable "x" is:

$x = \frac {rs-t} {2}$

Answer:

$x = \frac {rs-t} {2}$

4 0

4 years ago

2x + y ≤ 2

Ganezh [65]

The graph is attached with the answer.

<h3>What is an Inequality ?</h3>

When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.

The given Inequality is 2x + y ≤ 2

in slope intercept form can be written as

y ≤ -2x +2 , here slope is -2 and intercept is 2

As an equation it will be

y = -2x +2

x y

0 , 2

1 , 0

2 -2

The graph is plotted

The area is shaded and the test for the origin is applied , and it lies in the shaded region.

To know more about Inequality

brainly.com/question/20383699

#SPJ1

4 0

2 years ago

An assembly line produces 20 items per hour. If the line runs 24 hours per day, 7 days week, how many items are made by this mac

Margaret [11]

20x24x30 = 14,400
14,400 items

7 0

3 years ago

The price of a gallon of unleaded gas has risen to $2.85 today.Yesterday's price was $2.79 Find the percentage increase. Round y

kirill [66]

Answer:

Step-by-step explanation:

Percent decrease =

(difference in prices)/(original price) × 100

(2.89 - 2.82)/2.89 × 100

= (0.07)/2.89 ×100 ≈ 2.4%

6 0

3 years ago