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.
__
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
Step-by-step explanation:
x² - 2x - 15 = 0
x1 = 5
x2 = -3
Step-by-step explanation:
V
≈
424.12
cm³
d
Diameter
cm
h
Height
cm
Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
Area of the Base =
<span>
<span>
<span>
41.5692387633
</span>
</span>
</span>
Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72
<span>
<span>
Total Area = 41.5692387633
</span>
+ 72</span>
Total Area = 113<span>.5692387633</span>
Answer:
12
Step-by-step explanation:
