All categories

3 years ago

The graph of an inverse is the reflection of the graph of the function over the line ___

Mathematics

2 answers:

Mumz [18]3 years ago

7 0

Answer:

The graph of an inverse is the reflection of the graph of the function over the line y=x.

Step-by-step explanation:

We know that the graph of a inverse function of a given function f(x) is just obtained by reflecting the given function along the line y=x.

Since, the inverse of some function f(x) is obtained by just switching the places of x and y in the given equation.

( Algebraically reflecting of some graph along the line y=x is same as interchanging the place of x and y )

Zepler [3.9K]3 years ago

5 0

The line is y = x also called the diagonal.

You might be interested in

Find the equation of a line with slope -3 and goes through the point (-5,2)

Verizon [17]

Y - y₁ = m(x - x₁)
y - 2 = -3(x - (-5))
y - 2 = -3(x + 5)
y - 2 = -3(x) - 3(5)
y - 2 = -3x - 15
<u> + 2 + 2</u>
y = -3x - 13

6 0

4 years ago

What is the value of m in the equation 1/2 m - 3/4 n = 16, when n=8? <br>20 <br>32 <br>44 <br>48

olasank [31]

Answer:

48 567i900yhhf free in nkko of h

7 0

3 years ago

Read 2 more answers

How many ways are there to choose positive integers a, b and c, not necessarily distinct, so that a + b < c and c ≤ 5?

svetlana [45]

You’re taking about comparison, so there isn’t a definite answer. The answer is undefined or N/A

8 0

3 years ago

The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma

NeTakaya

Answer:

The Maximum error is $26cm^2$

Step-by-step explanation:

Given that the circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm

<h3>To find :</h3><h3>(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) $cm^2$ </h3>

Given circumference of a sphere=82 cm and possible error =0.5 cm

Error of the surface area is dA

Error of circumference is dC = 0.5 cm

We know that the formula for Circumference of a sphere is C=2πr units

Differentiating with respect to r

$dC = 2\pi dr$

$dr =\frac{dC}{2π}$

$=\frac{0.5}{2\pi}$ (∵ dC = 0.5 cm)

<h3>Since Area $A = 4\pi r^2$ square units</h3>

Differentiating with respect to r

$dA = 8\pi rdr$ square units

Since given C = 82 cm.and also C=2πr we have

$r=\frac{C}{2π}$

$=\frac{82}{2π}$

$r=\frac{41}{π}$

From that $dA = 8\pi rdr$

Substituting the values of r and dr in the above equation we get

$dA = 8\pi (\frac{41}{\pi}) (\frac{0.5}{2\pi})$

$=4(41)\times (\frac{0.5}{3.14})$

$=26.1146$

$dA=26cm^2$

∴ Maximum error is $26cm^2$

4 0

4 years ago

Laura invested $1000 in a college saving account for her children that had an annual interest rate of 11% compounded continuousl

Vlad1618 [11]

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

3 0

3 years ago