Question
1. Find the inverse of the function f(x) = 8x + 16. 2. Determine if the following functions are inverses of each other: f(x) =
1.Find the inverse of the function f(x) = 8x + 16.
2.Determine if the following functions are inverses of each other:
f(x) = 7x + 14
g(x) = (1/7)x - 2
3.Write the exponential equation y = 5xin logarithmic form.
4.Write the logarithmic equation log7x =y in exponential form.
5.Use the change-of-base formulato convertx=log390 to common logarithms.Then use a calculator to roundthe value of xto the nearest thousandth.
6.Find the amount of money accumulated if you invest $10,000 at 3% interest compounded quarterly for 2 years.Round your answer to the nearest cent.
7.Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years.Round your answer to the nearest cent.
8.Solve the following exponential equation:
5x= 2
Round your solution to the nearest hundredth.
9.Solve the following exponential equation:
ex= 10
Round your solution to the nearest hundredth.
10.Solve the following logarithmic equation:
log7x + log7(3x-2) = 0
Be sure to check all of your solutions in the original equation.
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