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seropon [69]
3 years ago
15

Given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer: f(g(x))=2x^2+16x+29

Step-by-step explanation:

f(x)=2x^2-3\\g(x)=x+4

f of g of x means "function f, replace x by the value of g of x"

f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29

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a) z = 1.645

b) The should sample at least 293 small claims.

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\alpha = \frac{1-0.9}{2} = 0.05

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M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

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