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elena-s [515]
1 year ago
7

Find the inverse of each function. Is the inverse a function? y=(x+4)³-1

Mathematics
1 answer:
tatuchka [14]1 year ago
4 0

Inverse of the give function F(x) = ( x + 4 )³ - 1 is F⁻¹(x) = [√( x + 1 ) ] - 4.

Given is a function of x, F(x) = ( x + 4 )³ - 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 4 )³ - 1 becomes y = ( x + 4 )³ - 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = ( x + 4 )³ - 1, we get

x = ( y + 4 )³ - 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 4 )³ - 1

=> x + 1 = ( y + 4 )³

=>  (y + 4 )³ = x + 1

=> y + 4 = √( x + 1 )

=> y = √( x + 1 ) - 4

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y = √( x + 1 ) - 4 becomes F⁻¹(x) = √( x + 1 ) - 4

Therefore, we get the inverse of the give function F(x) = ( x + 4 )³ - 1 as F⁻¹(x) = [√( x + 1 ) ] - 4.

Learn more about Inverse of a Function here:

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Can Somebody Please Help
Free_Kalibri [48]

Answer:

We have to put the data for purchased item in a frequency table.

Step-by-step explanation:

The diagram is attached below.

Firstly we have to see that how many customers fall under range 0 to 5.

Then 5 to 10.

Then 10 to 15.

Finally

15 to 20.

If we go through the items purchased by customers we can see that item ranges from 0 to 5 have 4 customers.

Item purchased range from 5 to 10 have 2 customers.

Item purchased range from 10 to 15 have 7 customers.

Item purchased range from 15 to 20 have 1 customers.

Total number of customers = 14

As we have total 14 number of customers and they have varied quantity of items purchased.

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3 years ago
PLZZZZZ HELP NEEDED ASAP WILL GIVE BRAINLIEST (IF RIGHT)
Harlamova29_29 [7]

x= 90° - 63° = 27° (NO perpendicular to AOB)

angle DOB = (90°+90°) -128° (angles on a straight line)

= 180° - 128°

= 52°

y= 180° - x - 63° - angle DOB (angles on a straight line)

=180° - 27° - 63° - 52°

= 38°

I'm not sure of the answer tho^^ good luck!

8 0
3 years ago
How do I solve this?
Sonbull [250]

The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.

sec(<em>x</em>) = csc(<em>x</em>)

By definition of secant and cosecant,

1/cos(<em>x</em>) = 1/sin(<em>x</em>)

Multiply both sides by sin(<em>x</em>) :

sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)

As long as sin(<em>x</em>) ≠ 0, this reduces to

sin(<em>x</em>)/cos(<em>x</em>) = 1

By definition of tangent,

tan(<em>x</em>) = 1

Solve for <em>x</em> :

<em>x</em> = arctan(1) + <em>nπ</em>

<em>x</em> = <em>π</em>/4 + <em>nπ</em>

(where <em>n</em> is any integer)

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of

<em>x</em> = <em>π</em>/4   <u>or</u>   <em>x</em> = 5<em>π</em>/4

5 0
2 years ago
Help me pls ASAP!
Cloud [144]
It wold be letter D.
7 0
2 years ago
Can someone help me?
BabaBlast [244]

Answer:

it is b

Step-by-step explanation:

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