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Alex
3 years ago
8

If f(x)=x^2-1 and g(x)=x+2 then g(f(x)=

Mathematics
2 answers:
Nana76 [90]3 years ago
7 0

Answer:

Step-by-step explanation:

If f(x)=x^2-1 and g(x)=x+2 then g(f(x))= g(x²-1) = (x²-1)+2= x²+1

vlada-n [284]3 years ago
4 0

Answer:

Step-by-step explanation:

Just plug the f(x) function into x for g(x).  Then solve.

g(f(x))=(x^2-1)+2=x^2+1

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Download photo math for equations like this, it will also give you it step by step :)
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A graph of a quadratic function is shown below.
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
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Answer:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma=58.2 represent the population standard deviation

n represent the sample size  

ME =1 represent the margin of error desire

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be \alpha=0.01 and the critical value z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

3 0
3 years ago
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