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anzhelika [568]
2 years ago
8

Which equation is the inverse of 2(x-2)squared=8(7+y)

Mathematics
1 answer:
dsp732 years ago
5 0

Answer:

f^{-1}(x)=2(+/-)2\sqrt{(7+x)}

Step-by-step explanation:

we have

2(x-2)^{2}=8(7+y)

step 1

Exchange x for y and y for x

2(y-2)^{2}=8(7+x)

step 2

isolate the variable y

(y-2)^{2}=4(7+x)

take the square root both sides

y-2=(+/-)\sqrt{4(7+x)}

y=2(+/-)\sqrt{4(7+x)}

step 3

Let

f^{-1}(x)=y

f^{-1}(x)=2(+/-)\sqrt{4(7+x)}

f^{-1}(x)=2(+/-)2\sqrt{(7+x)}  ----> equation of the inverse

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Answer:

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Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

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In interval notation, this is ...

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<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

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In interval notation, this is ...

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6 0
1 year ago
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<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

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The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
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Step-by-step explanation:

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