Pick best answer: For the given pair of functions
1.) f= 5x-1 and g=x^2, find fog(2)
a. 81 b. 19 c. 5x^2-1 d. (5x-1)^2

2.) f= 2x^2 and g=x+1, find gof(x)
a. gof(x) = 2(x+1)^2 b. gof(x) = 2x^2 +1 c. gof(x) =2x^2 +x +1 d. gof(x) = not given

3.) Simplify: 10^log(1000) a. 3 b. 1,000 c. -3 d. 1,000,000

Please answer:
1.) f= 3x-1 and g= 2x+4, find (f/g)(x) and its domain.
2.) If an account has an annual yield of 5% compounded quarterly, how long before the account triples?
3.) My money decays at a rate of .24 of its original amount per year. I am worried, because this means the equation M=A(.76)^t, where t is the time in years, gives the amount of my money after some time has elapsed. Find how long it would take for my money to shrink to a quarter of its original amount.
4.) How long does it take for an account earning 12% per year compounded annually to grow to $7,000 if you invest $2,500?
5.) We deposit $4,000 into an account with an annual yield of 8% compounded annually and $2,500 into another account with an annual yield of 9 1/2% compounded annually. How long before the second account is equal to the first account?

Solution Summary

There are several problems here involving logarithms, compound interest, and composite functions.

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... It provides information about the composition of DP ... level for consumption as a function of income ... relations are estimated with variables in logarithms and levels ...

... The semi-logarithmic characteristic of ... balance must therefore be written whenever composition changes are ... transforms of some common standard functions f(t ...

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... resource measures, we included a composite measure of ... the method of taking the logarithm of (3.2 ... as functions of the child's characteristics, Before discussing ...

... it seems sensible to use a composite measure of ... We take the natural logarithm of this ratio for ... endogenous variables are modeled as linear functions of lagged ...

... or participate in social and religious functions is related to ... As indicated in Appendix I, composite indices were ... had to resort to either logarithmic or square ...

... re plotting the data as a logarithmic graph, the ... of populations and how this genetic composition changes from ... occurs between linked genes is a function of the ...