3 years ago

Q=x-c for x, help me please

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Answer:

x is x

Step-by-step explanation:

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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.

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agasfer [191]

I would need more information from the question to give an answer for each trapezoid.

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3 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

Phoenix [80]

Answer:

2x + 3y +1

Step-by-step explanation:

-2x + 4x -6y + 9y +3 -2 (arranging)

2x + 3y + 1

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3 years ago

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Mkey [24]

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A 3pack of boxes of juice costs 1.09. A 12 pack of boxes cost 4.49. A case of 24 boxes costs 8.78. Which is the best buy?Explain

Leona [35]

1.09÷3= .3633 each
4.49÷12= .37416 each
8.78÷24= .3658 each

so the first one

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