All categories

2 years ago

What is the inverse of the function f(x) = 2x + 1?

Mathematics

2 answers:

adoni [48]2 years ago

8 0

$f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=\dfrac{y-1}{2}\\\\f^{-1}(x)=\dfrac{x-1}{2}$

hodyreva [135]2 years ago

4 0

Answer:

The inverse f-1(x) = ( x - 2) / 2.

Step-by-step explanation:

Let 2x + 1 = y

Now find x in terms of y:

2x = y - 1

x = (y - 1) / 2

Replace the x by the inverse f-1(x) and the y by x, so we have:

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

You might be interested in

Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'

MArishka [77]

The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.

From the graph:

The two points are (-4, -2) and (4, 5)

The line equation passing through two points:

[y - 5] = (5+2)/(4+4)[x - 4]

y - 5 = 7/8[x - 4]

8y - 40 = 7x - 28

8y = 7x + 12

Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

6 0

1 year ago

Can someone please help me

alexdok [17]

Answer:

idk

Step-by-step explanation:

6 0

2 years ago

Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

$sin^{2}(\alpha)+cos^{2}(\alpha)=1$

step 1

Find cos(X)

we have

$sin(x)=\frac{1}{2}$

we know that

$sin^{2}(x)+cos^{2}(x)=1$

substitute

$(\frac{1}{2})^{2}+cos^{2}(x)=1$

$cos^{2}(x)=1-\frac{1}{4}$

$cos^{2}(x)=\frac{3}{4}$

$cos(x)=\frac{\sqrt{3}}{2}$

step 2

Find tan(x)

$tan(x)=sin(x)/cos(x)$

substitute

$tan(x)=1/\sqrt{3}$

step 3

Find sin(y)

we have

$cos(y)=\frac{\sqrt{2}}{2}$

we know that

$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

$sin^{2}(y)=1-\frac{2}{4}$

$sin^{2}(y)=\frac{2}{4}$

$sin(y)=\frac{\sqrt{2}}{2}$

step 4

Find tan(y)

$tan(y)=sin(y)/cos(y)$

substitute

$tan(y)=1$

step 5

Find tan(x+y)

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

substitute

$tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73$

7 0

2 years ago

Find the amount of interest on $1,500 invested for 20 days at 6.75%, compounded daily. $_____

LekaFEV [45]

Answer:

The required amount of interest is $5538.

Step-by-step explanation:

Given : $1,500 invested for 20 days at 6.75%, compounded daily.

To find : The amount of interest ?

Solution :

Applying compound interest formula,

$A=P(1+r)^t$

Where, A is the amount

P is the principal P=$1500

r is the interest rate r=6.75%=0.0675 compounded daily

t is the time t=20 days

Substitute the value in the formula,

$A=P(1+r)^t$

$A=1500(1+0.0675)^{20}$

$A=1500(1.0675)^{20}$

$A=1500\times 3.69$

$A=\$5538$

Therefore, The required amount of interest is $5538.

4 0

3 years ago

A store sells there varieties of cheese chddar, Gouda, and swiss. Each variety of cheese is available in two different styles sh

Zielflug [23.3K]

There are 6 possible outcomes.

1. Cheddar shredded.
2. Cheddar sliced.
3. Gouda shredded.
4. Grouda sliced.
5. Swiss shredded.
6. Swiss sliced.

Have a great day.
Don't forget to chose brainliest answer.

6 0

2 years ago

Read 2 more answers