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2 years ago

Which of the functions below is the inverse of the logarithm function?

Mathematics

2 answers:

jekas [21]2 years ago

4 0

Exponential function because log deals with finding the exponent so the inverse is an exponential function

kupik [55]2 years ago

3 0

Answer:

Option 2 - Exponential function

Step-by-step explanation:

To find : Which of the functions below is the inverse of the logarithm function?

Solution :

The inverse of a logarithmic function is an exponential function.

As by property of logarithmic,

$y=\log_b(x)\\\Rightarrow x=y^b$

For example -

Taking log function,

$y=\log_2 x$

Applying property it convert into exponential function,

$x=2^y$

The graphs of the logarithmic function and the exponential function are mirror images of one another.

Therefore, Option 2 is correct.

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Professor henry knows from past experience that 30% of all homework papers handed in will be missing the name of the person who

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If you would like to know how many papers will be missing the name, you can calculate this using the following steps:

30% of 200 homework papers = 30% * 200 = 30/100 * 200 = 60 homework papers

The correct result would be a) between 50 and 70 papers will be missing the name.

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2 years ago

The percent of the U.S. population living in metropolitan areas has increased since 1950. Which model relates the percent as a f

chubhunter [2.5K]

The right answer is B: y=0.48x+58

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2 years ago

Given f(x)=-1/7√16-x^2 find f^-1(x)

Vera_Pavlovna [14]

Answer:

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

Not a function.

Step-by-step explanation:

The given function is;

$f(x)=-\frac{1}{7}\sqrt{16-x^2}$

Let $y=-\frac{1}{7}\sqrt{16-x^2}$

Interchange x and y;

$x=-\frac{1}{7}\sqrt{16-y^2}$

Solve for y;

$-7x=\sqrt{16-y^2}$

Square both sides

$(-7x)^2=(\sqrt{16-y^2})^2$

$49x^2^2=16-y^2$

$49x^2^2-16=y^2$

$y=\pm \sqrt{49x^2-16}$

The inverse is

$f^{-1}(x)=\pm \sqrt{49x^2-16}$

$f^{-1}(x)=\pm \sqrt{49x^2-16}$ is not a function because one x-value maps onto to different y-values.

6 0

2 years ago

Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

zimovet [89]

Answer:

A Translation 4 units leftwards followed by a reflection across the x-axis.

Step-by-step explanation:

he transformations are:

Translation 4 units leftwards.

Reflection across the x-axis.

You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.

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2 years ago

A commercial recipe for cookies

Volgvan

Answer: 4 quarts

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2 years ago