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hjlf
2 years ago
11

Question 19 of 25 f(x)=√x-6. Find the inverse of f(x) and its domain.

Mathematics
1 answer:
Gekata [30.6K]2 years ago
5 0

Answer:

f¯¹(x)=x²+12x+36

Step-by-step explanation:

f(x) =  \sqrt{x}  - 6 \\ substitute \: y \: for \: f {}^{ - 1} (x) \\ y =  \sqrt{x}  - 6 \\ interchange \: x \: and \: y \\ x =  \sqrt{y}  - 6 \\ swap \: the \: side \: of \: the \: equation \\  \sqrt{y }  - 6 = x \\ move \: the \: constant \: to \: the \: right \: hand \: side \\   \sqrt{y}  = x + 6 \\ square \: both \: sides \: of \: the \: equation \\ y = x {}^{2}  + 12x + 36 \\ substitute \: f \frac{}{ -1} (x) \: for \: y \\ f {}^{ - 1} (x) = x {}^{2}  + 12x + 36 \\ domain \: x∈R

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Step-by-step explanation:

(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

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(b) (0.5)(0.6) = 0.3

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3 0
3 years ago
Use the net to find the surface area of the rectangular prism.
Komok [63]

Answer:

220

Step-by-step explanation:

The surface area is  given by

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3 years ago
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zavuch27 [327]

Answer:

  46°

Step-by-step explanation:

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3 years ago
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Iteru [2.4K]

Answer:

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:)  Hope this helps! Please mark brainliest! :)

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