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4 years ago

14

List the different combinations of heads and tails that can occur when 33 ordinary coins are tossed. Use h for heads and t for t

ails.
One combination is thtt. List the other combinations, taking order into account.

1 answer:

Crank4 years ago

4 0

There's thtt, <span>hh,ht,th,tt</span>

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Nookie1986 [14]

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

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Step-by-step explanation:

Given functions are:

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Putting the values of functions

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}\\We\ have\ to\ find\ the\ value\ of\ (\frac{g}{f})(x)\ at\ 3\\So,\\(\frac{g}{f})(3)=\frac{-2(3)^2+5}{9(3)-6}\\(\frac{g}{f})(3)=\frac{-2(9)+5}{27-6}\\(\frac{g}{f})(3)=\frac{-18+5}{27-6}\\(\frac{g}{f})(3)=\frac{-13}{21}$

Domain of g/f:

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}$

The function will be undefined if the denominator is zero.

To find the domain we will put the denominator equal to zero

So,

$9x-6=0\\Adding\ 6\ on\ both\ sides\\9x-6+6=0+6\\9x=6\\Dividing\ both\ sides\ by\ 9\\\frac{9x}{9}=\frac{6}{9}\\x=\frac{2}{3}$

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)

<u>Answer:</u>

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Keywords: Domain, Operations on Functions

Learn more about functions at:

#LearnwithBrainly

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