<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
Answer:the new price of the shoe is $5
Step-by-step explanation:
The price at which the shoe has been selling is $25.
Because of an increase of 4% in wholesale prices, a shoe store had to mark up its new stock by the same percent. The value of the 4% increase on the initial price of the shoe is
4/100 × 25 = 0.04 × 25 = $1
Therefore, the new price of the shoe would be
4 + 1 = $5
Answer: 32/35 km
Step-by-step explanation: First you have to find a common denominator between these two mixed numbers. That basically means that you have to convert them so that they both have the same denominator, that way they can be compared to one another. The easiest way to do this is to just multiply the denominators. 5 x 7 = 35. I will use 35 as my denominator. Then you multiply the numerators by the same number that you multiplied the denominator by to get 35. Since 7 x 5 = 35, 5 x 5 = 25. Same with the second fraction. 5 x 7 = 35. 4 x 7 = 28. The mixed numbers we have are now 3 and 25/35 and 2 28/35. To figure out how much farther Mark jogged we just take his distance, and subtract his sister's distance from it. 3 25/35 minus 2 28/35 = 32/35.
Answer:
a=2 and b=2...............
Answer:
No
Step-by-step explanation:
<u>Step 1: Determine if linear
</u>
It is not linear because it has the x variable to the second power which makes the line bend and turns into a parabola. A linear line would have the x to the first power or just x.
Answer: No
<u>Graph Below</u>
