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
Answer:
V ≈ 8.67x10^7 ft^3
Step-by-step explanation:
We know that the volume of a pyramid is V= (lwh)/3
Since it is a square pyramid, it means that the length and the width are the same:
Length=755.9 feet
Width=755.9 feet
Height=455.4 feet
So, the volume is :
V = [(755.9)(755.9)(455.4)]/3
V = 86736214.158 ft^3
V ≈ 8.67x10^7 ft^3
Hope this helps!
Mark brainliest if u think I helped! Would really appreciate!
Answer:
it's 3
Step-by-step explanation:
Number 3 is 3 units away from 0, and thus the absolute value of 3 is 3.
Answer:
y +1 = 3/4(x -1)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
scale factor means the amount of times you need to multiply
so,
36/9
=6
