Answer:
f(-x) is a reflection of f(x) in the y-axis
Step-by-step explanation:
–f (x) reflects the function in the x-axis (that is, upside-down). f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).
You can set up a proportion in order to get this answer. So if you're able to travel 2748 miles in 6 hours, then divide 2748 by 3 in order to get the distance for 2 hours. This should be equal to 916 miles in 2 hours.
Factor x^4 -4x^3 -4x^2 +36x-45
Answer:
<h2>(x+3)(x−3)(x^2−4x+5)</h2>
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
B. 195
It’s B because if you divide 584 with 3 it equals 194.66 but you round up and it becomes 195.
