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3 years ago

The _ _, f(x) = x, is formed by the composition of a function and its inverse. (2 words)

Mathematics

1 answer:

jonny [76]3 years ago

8 0

Answer:

Identity function

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

$f^{-1}(x)$

The composition function of the function and the reverse function can be found as:

$(f\circf^{-1})(x) = f(f^{-1})(x) = x$

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

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Which are are the roots of the quadratic function F(q)=q^2-125?

nadezda [96]

Q^2 - 125 = 0
q^2 = 125

q = +/- sqrt 125 = 11.18, -11.18

5 0

3 years ago

Sin(20)=x/670 ????????

mash [69]

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

6 0

3 years ago

Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

r-ruslan [8.4K]

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

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3 years ago

A sparkling-water distributor wants to make up 200 gal of sparkling water to sell for $ 5.00 per gallon. She wishes to mix thre

devlian [24]

The answer will be D

8 0

3 years ago

Read 2 more answers

Find the solution(s) to the system <br>y = x2-4 <br>y = -2x – 5 <br><br>

katen-ka-za [31]

Answer:

=(-1,-5)

Step-by-step explanation:

y=X1=4

y=-2x-5-2

4 0

2 years ago

The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)

The _ _, f(x) = x, is formed by the composition of a function and its inverse. (2 words)