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Vanyuwa [196]
4 years ago
10

Pre-calculus please help and please explain

Mathematics
1 answer:
Karolina [17]4 years ago
3 0

We have to make sure the functions are simplified into just x to verify that they are inverses. To do this, we have to compose the functions into each other.

f(g(x)) = 4/(4/x)

The 4's cancel out and you're left with just x

f(g(x)) = x

Let's compose f(x) into g(x) now.

g(f(x)) = 4/(4/x)

The 4's cancel out and you're left with just x

Since both functions are equal to x after composing them into each other, we can confirm that they are indeed inverses of each other.

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If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.

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It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

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The next step would be calculate the p value for this test.  Since is a bilateral test or two tailed test, the p value would be:  

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If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% or 1% of significance we fail to reject the null hypothesis.  

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