3 years ago

Item 4

Mathematics

1 answer:

Murrr4er [49]3 years ago

7 0

The answer is :Cup, pint, quart

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

1.morgan is 15 years old younger than Mrs.santtos their combined age is 442. jenny won the ping-pong championship eight more tim

swat32

If Morgan is 15 years younger then Mrs.Santos and there combined age is 442 that means that Mrs.Santos is 221, and Morgan is 206.

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3 years ago

Write the equation of the line that matches the scenario in slope intercept form.

viva [34]

Answer:

it took 60 minutes to fill up 800 gallons of water???

3 0

3 years ago

1/3(9x+16+2) + 2x What is X

Flauer [41]

This is the answer if your question

3 0

2 years ago

Corresponding solution for 3x-3(x+1)=3 plzzz answer quickly

Gekata [30.6K]

$3x - 3(x + 1) = 3 \\ = > - 3(x + 1) = 3 - 3x \\ = > - 3(x + 1) = - 3(1 + x) \\$

Hence,

$x$ is cutting each other in this equation.

So, $x$ can be of any value.i.e.,infinite.

Hope this will help you.

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6 0

3 years ago