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3 years ago

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Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:

its either -7 or 7 but im not super confidant in that answer but thats what makes sense to me

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State whether f is a function

Alenkinab [10]

<h2>Answer:</h2>

$y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function$

<h2>Step by step solution:</h2>

A function $f$ from a set $A$ to a set $B$ is a relation that assigns to each element $x$ in the set $A$ exactly one element $y$ in the set $B$ . The set $A$ is the domain (also called the set of inputs) of the function and the set $B$ contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function $f$ has an inverse function if and only if there is no any horizontal line that intersects the graph of $f$ at more than one point. So the function is called one-to-one. The graph of $f$ is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find $f^-{1}(x)$ :

$f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}$

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0

3 years ago

Read 2 more answers

50 POINTS PLZ HELP

Brums [2.3K]

Answer:

Move it to 2 place to the right

Step-by-step explanation:

4.003×100

=400.3

It can be observed that the dot in front of 4 has been shifted in two times to the front giving us 400.3

But in the case of division,it will be two places to the left...

I hope you understand

3 0

3 years ago

Read 2 more answers

What time does the clock show?<br> 12<br> 1<br> 11<br> 10<br> 3 -<br> 8<br> 4.<br> 1<br> 7 6<br> 5

amm1812

Answer:

6:59

Step-by-step explanation:

Hour : Minute

Small hand is hour hand, large hand is minute hand. Minutes go by the small tic marks, where the hours go off of the numbers.

3 0

3 years ago

Read 2 more answers

Legs and hypotenuse

zaharov [31]

Answer:

Step-by-step explanation:

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

3 0

3 years ago

Calculate the volume of each diagrams.

wariber [46]

The volume of the solid objects are 612π in³ and 1566πcm³

<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume = πr²(h + 2/3r)

Volume = π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume = π(9)²(15) + 1/3π(9)²(13)

Volume= 81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

Learn more on volume of composite figures here: brainly.com/question/1205683

#SPJ1

8 0

1 year ago