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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
Car: distancec = 105 km + (90 km/hr)(3 hrs)
Cycle: distancem = ratem(3 hrs)
Equate these 2 distances: 105 km + 270 km = ratem(3 hrs)
Then 375 km / 3 hrs = ratem = 125 km/hr (average speed of the motorcyclist)
Is this a multiple-choice question? I don't see any variables defined to represent length, width, and area.
Using A = area, l = length, w = width, a formula for area would be A = lw.
Some writers use b = base for the length and h = height for the width, in which case A = bh.
Answer:
x = 1
Step-by-step explanation:
2(4x) = 8
2(4x) = 2 * 4x
2 * 4x = 8x
8x = 8
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8 8
x = 1
It should be for 5 hours if $30 is what they started with