{ y ≥ 2x + 1; y > -2x - 3 } Unbound
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9514 1404 393
Answer:
A. f^-1(x) = x³ -12
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = ∛(y +12) . . . . . use the definition of f(x)
x³ = y +12 . . . . . . . cube both sides to eliminate the radical
x³ -12 = y . . . . . . . add -12 to isolate the y-variable
f^-1(x) = x³ -12 . . . matches choice A
s = ∛729 in³
Since the volume is 729 in³, our equation can be plugged into:
<em>729 = s³</em>.
Isolate s by cube rooting each side: ∛729 = s.
6^2= 36