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
<em>Your</em><em> </em><em>answer </em><em>is</em><em> </em><em>-</em><em>6</em><em>.</em>
<em>Hope</em><em> </em><em>my</em><em> </em><em>answer </em><em>is</em><em> </em><em>helpful </em><em>to</em><em> </em><em>you</em><em>.</em><em> </em><em>Stay</em><em> </em><em>blessed </em><em>.</em>
Answer:
Step-by-step explanation:
Given
Required
Determine the volume of air
Density is calculated using:
Substitute values for Density and Mass
Convert lb to grams
Solve for Volume
Convert mL to L
Represent using scientific notation
Approximate
(-8)^2
(-8)(-8)
64
Hope this helps!
Answer: i think it is... x = -19
