Answer:
h(-8)=-15
Step-by-step explanation:
Substitute t=-8
h(-8) =-2(-8+5)^2+3
=-2(-3)^2+3
=-2(9)+3
=-18+3
=-15
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Answer:
3. Since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.
Step-by-step explanation:
The domain of a function is the range of its inverse, and vice versa. The only answer choice that expresses this relationship is choice 3.
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Comment on the answer choice:
The slope of the function is undefined at x=4, so restricting the function domain to the portion with positive slope means the domain restriction of the function is x > 4. That also means the range restriction of the function is y > 6. The domain restriction of the inverse function is the same: x > 6, not x ≥ 6. The answer choice has an error.
G(x)/f(x) will be simplified to (x+3)(x-3)/2-x^1/2,
which will give you [0,4) ∪(4, ∞).
Choice B
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Answer:
x = 3/2
Step-by-step explanation:
Multiply by 3 and solve the resulting 2-step equation.
5 = (1/3)(2x +12)
15 = 2x +12 . . . . . . multiply by 3
3 = 2x . . . . . . . . . . subtract 12
3/2 = x . . . . . . . . . . divide by 2
