All categories

4 years ago

What is the inverse of f(x)=3x-1

Mathematics

1 answer:

tatiyna4 years ago

3 0

Answer:

$\frac{(y + 1)}{3}$

Step-by-step explanation:

Call $f(x) = y = 3x - 1$

Now, $y + 1 = 3x$

$\implies \frac{y + 1}{3} = x$

This is the inverse of the given function.

You can cross - verify it by substituting a point, say, $(1,3)$

We see that the point satisfies both the equations.

You might be interested in

an online media service offers video and music downloads. Each download of a song costs $1.2. Each download of a video costs 4 t

IceJOKER [234]

She can buy 26 songs after purchasing 10 videos

8 0

4 years ago

Read 2 more answers

Please for brainliest do it as quick as possible

nika2105 [10]

Answer:

Step-by-step explanation:

8(11 - 3) - 2(4 + 1)

11 - 3 = 8

4 + 1 = 5

8(5) - 2(5)

8 * 5 = 64

2 * 5 = 10

64 - 10 = 54

8 0

3 years ago

Read 2 more answers

Bobby has a bag containing 2 sizes of marbles. The big ones weigh 10 g and the small ones weigh 3 g. If there are three times as

Vikentia [17]

Answer:

There are 19 big marbles

Step-by-step explanation:

10a + 3b = 209

a = 3b

3b = 3b

10a + a = 209

11a = 209

a = 209/11

a = 19

8 0

3 years ago

Find the value of unknown angle x,y,z,a,b,c with reasons and full process

Oduvanchick [21]

Answer:

Step-by-step explanation:

x = 70 degree (being vertically opposite angles)

y + 70 degree =180 degree (being linear pair)

y = 180 - 70

y = 110 degree

In triangle,

x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)

70 + 60 + missing angle =180

130 + missing angle = 180

missing angle = 180 - 130

missing angle = 50 degree

c = missing angle (being vertically opposite angles )

c = 50 degree

x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)

70 + 50 = a

120 degree = a

a = b (being vertically opposite angle

120 =b

therefore b is 120 degree

Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree

7 0

3 years ago

How are percent transmittance and absorbance related algebraically?

statuscvo [17]

Answer:

So, if all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

Absorbance is the inverse of transmittance so,

A = 1/T

Beer's law (sometimes called the Beer-Lambert law) states that the absorbance is proportional to the path length, b, through the sample and the concentration of the absorbing species, c:

A ∝ b · c

As Transmittance, $T =\dfrac{P}{P_0}$

% Transmittance, $\%T=100\times T$

Absorbance,

$A=\log_{10} \dfrac{P_0}{P}\\\\A =\log_{10}\times \dfrac{1}{T}\\\\A=\dfrac{\log_{10} 100}{\%T}\\\\A=(2 - log_{10})\times \%T$

Hence, $A=\log_{10}\times \dfrac{1}{T}$ is the algebraic relation between absorbance and transmittance.

8 0

3 years ago