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.

... retail price of beef per pound, Cents X6 = composite real price ... Now consider the following demand functions: ... from (2) in that it includes the logarithm of real ...

... 7 and g(x) = x - 5. (a) Find the composite function (f of ... Page 4 of 11 9. Express as a single logarithm: log x ... Which of the functions corresponds to the graph? ...

... environment consisting of new chemical composition and temperature ... is defined as the negative logarithm of the ... optimal temperature at which it function properly ...

... 952;, and further explains: "The logarithmic spiral has ... the mechanics of creating an artistic composition. ... intuitive/artistic higher math functions where the ...

... 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 ...

... Real GDP per capita (dollars per capita; logarithmic scale) subject ... See Appendix 3.1 for composition of groups. ... especially about how well they function and what ...

... 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 ...

... Note: Statistics are natural logarithms of ratios across ... inequality, technology, and labor force composition play cru ... Poverty is a direct function of paid work ...

... 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 ...