<h3>
Answer: D) h(x) = (1/4)x</h3>
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
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Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
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Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
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Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
You would be able to fill 9 celery pieces
![\frac{1}{12} * \frac{9}{1} = \frac{9}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B12%7D%20%2A%20%20%5Cfrac%7B9%7D%7B1%7D%20%3D%20%20%5Cfrac%7B9%7D%7B12%7D%20)
which simplifies to
X^2-81=x^2-9^2=(x+9)(x-9)
this is the answer
Answer:
6
Step-by-step explanation:
So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:
![8x+2](https://tex.z-dn.net/?f=8x%2B2)
And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:
![8x+2=50](https://tex.z-dn.net/?f=8x%2B2%3D50)
To find the number, we just need to find x. Thus, subtract 2 from both sides:
![8x=48](https://tex.z-dn.net/?f=8x%3D48)
Divide both sides by 8:
![x=6](https://tex.z-dn.net/?f=x%3D6)
And we're done!
So, our original number was 6.