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8_murik_8 [283]
2 years ago
6

How many passes will it take to find 30 using a binary search?

Computers and Technology
1 answer:
dimulka [17.4K]2 years ago
7 0
Just wanna let you know I could be wrong but I think 4 passes
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What is the name of a robot astronaut created by NASA
dsp73

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The name of the robot astronaut created by NASA is Robonaut 2.</span>

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Find the inverse function of f(x)= 1+squareroot of 1+2x
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Answer:

Therefore the inverse function of  f(x)=1+\sqrt{1+2x} is \frac{x^2-2x}{2}

Explanation:

We need to find the inverse of function f(x)=1+\sqrt{1+2x}

Function Inverse definition :

\mathrm{If\:a\:function\:f\left(x\right)\:is\:mapping\:x\:to\:y,\:then\:the\:inverse\:functionof\:f\left(x\right)\:maps\:y\:back\:to\:x.}

y=1+\sqrt{1+2x}\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y

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\mathrm{Solve}\:x=1+\sqrt{1+2y}\:\mathrm{for}\:y

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

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\mathrm{Square\:both\:sides}

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\mathrm{Expand\:}\left(\sqrt{1+2y}\right)^2:\quad 1+2y

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\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

1+2y-1=x^2-2x+1-1

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2y=x^2-2x

\mathrm{Divide\:both\:sides\:by\:}2

\frac{2y}{2}=\frac{x^2}{2}-\frac{2x}{2}

\mathrm{Simplify}

y=\frac{x^2-2x}{2}

Therefore the inverse function of f(x)=1+\sqrt{1+2x} is \frac{x^2-2x}{2}

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