Fourth differences are constant (48), so the function is 4th degree.
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f(x) = 2(x^4 -1)
<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:
Option D.
Step-by-step explanation:
The vertex form of a parabola along y-axis is
...(1)
where, (h,k) is vertex and a is a constant.
From the given graph it is clear that the vertex of the parabola is (0,2). So, h=0 and k=2.
...(2)
The graph passing through (6,5). Substitute x=6 and y=5 in the above equation.
Substitute in equation (2).
Therefore, the correct option is D.
222,22 that has to be the answer