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34kurt
3 years ago
6

Given the functionf(x)=0.5(3)^x, what is value of f-1(7)

Mathematics
1 answer:
gogolik [260]3 years ago
4 0
Ok, a fun hack

if f⁻¹(a)=b then f(b)=a

so if f⁻¹(7)=b then f(b)=7

to find b, find x such that f(x)=7


7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
log_3(14)=x

f^{-1}(7)=log_3(13)
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<h3>How to rewrite the function?</h3>

The function is given as:

f(x) = 86(1.08)^x

There are 7 days in a week.

This means that:

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2 years ago
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The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.

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Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:  

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Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.

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