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3 years ago

Which set(s) represents a function?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

7 0

Answer:

All except the 3rd one {(12, 12), (12, 13), (12, 14)} are functions

Step-by-step explanation:

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

This means that as long as some X does not give different Y values it is a function.

jek_recluse [69]3 years ago

4 0

Answer:

1, 2, 3

Step-by-step explanation:

If the y's (right numbers have more than one number its not a function) hope this helps! :)

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Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x. f(x)=−3x+4⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√3+5

iVinArrow [24]

Answer:

$h(x)=-2x+4$

$g(x)=\sqrt[3]{x}-5$

Step-by-step explanation:

Consider the given function is

$f(x)=\sqrt[3]{-2x+4}-5$

It is given that $f(x)=g(h(x))$ and neither g(x) nor h(x) is solely x.

$f(x)=\sqrt[3]{(-2x+4)}-5$

Let $h(x)=-2x+4$ , then we get

$f(x)=g(h(x))=\sqrt[3]{h(x)}-5$

Substitute h(x)=x in the above function.

$g(x)=\sqrt[3]{x}-5$

Therefore, the required functions are $h(x)=-2x+4$ and $g(x)=\sqrt[3]{x}-5$ .

Check the solutions.

$g(h(x))=g(-2x+4)$ $[\because h(x)=-2x+4]$

$g(h(x))=\sqrt[3]{-2x+4}-5$ $[\because g(x)=\sqrt[3]{x}-5]$

$g(h(x))=f(x)$

Therefore, our solution is correct.

7 0

4 years ago

12 less than the quotient of a number and seven is -2 find the number

kiruha [24]

A quotient is the result of a division.
Let the unknown number be x.

We translate the problem into an equation, piece by piece.

"quotient of a number and seven" ----> x/7

"12 less than the quotient of a number and seven" ----> x/7 - 12

The word "is" means "="
x/7 - 12 =

All the above is -2, so it equals -2.

x/7 - 12 = -2

$\dfrac{x}{7} - 12 = -2$

First, add 12 to both sides and simplify.

 $\dfrac{x}{7} - 12 + 12 = -2 + 12$


 $\dfrac{x}{7} = 10$ 

Next, multiply both sides by 7.

$\dfrac{x}{7} \times 7 = 10 \times 7$

$x = 70$

Answer: The number is 70.

5 0

3 years ago

Read 2 more answers

Estimate the number 352,222

kati45 [8]

To the nearest what the nearest ten is 360,000 nearest ten thousand 400,000

6 0

3 years ago

Pls answer its for a test grade

Anika [276]

It’s 6 thanks duehwyahahahsh

3 0