Graph the line for x=-2

Which pair of expressions represents inverse functions?

faust18 [17]

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

$y = \frac{x+3}{4x-2}$

Switching x and y and solving for y,

$x = \frac{y+3}{4y-2}$

Performing cross multiplication

$4xy -2x = y+3$

Combining like terms

$y(4x-1) = 3+2x$

$y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}$

Which is same as of the other function.

So correct option is b .

6 0

4 years ago

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1. Given f (x) = -2x + 1, find f(-1)

AleksandrR [38]

Answer:

3

Step-by-step explanation:

plug in (-1) for x

-2(-1) + 1

2 + 1

3

4 0

3 years ago

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Using the net below, find the surface area

AVprozaik [17]

The Surface area of the triangular prism with the net shown below is 106 cm²

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

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²

The Surface area of the triangular prism with the net shown below is 106 cm²

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0

2 years ago

The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

scoray [572]

Answer:

The multiplicative rate of change of the function is $\dfrac{2}{3}$

Step-by-step explanation:

You are given the table

$\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}$

An exponential function can be written as

$y=a\cdot b^x,$

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

$6=a\cdot b^1\\ \\4=a\cdot b^2$

Divide the second equality by the first equality:

$\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}$

Substitute it into the first equality:

$6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9$

So, the function expression is

$y=9\cdot \left(\dfrac{2}{3}\right)^x$

Check whether remaining two values of x and y suit this expression:

$9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}$

So, the multiplicative rate of change of the function is $\dfrac{2}{3}$

4 0

3 years ago

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For each 24 mm of coloured fabric Gordon uses to make his curtains, he also uses 1.2 cm of white fabric. Express the amount of w

swat32

Answer:

1 : 2

Step-by-step explanation:

Given that,

amount of coloured fabric Gordon use to make his curtain = 24mm

amount of white fabric Gordon use to make his curtain = 1.2cm

To find,

ratio of the amount of white fabric to coloured fabric

1 cm = 10mm

1.2 cm = 1.2 * 10

= 12 mm

<h3>Ratio</h3>

12 / 24

1 / 2

1 : 2

So, ratio of the amount of white fabric to coloured fabric is 1 : 2

8 0

3 years ago