Reference no: EM13527768
1. Find the inverse function f-1 of f(x) = 9x – 6.
2. Find the inverse of the function. Determine whether the inverse is also a function.
x f(x)
–10 10
–2 4
4 4
9 10
4. Determine whether the function is one-to-one.
f = {–4, –2), (–3, 4), (–1, –5), (0, 5), (3, 10)}
5. Determine whether or not the inverse of the given function is a function.
x g(x)
–4 7
10 8
9 9
1 10
6. If the function f(x) = x2 + 4 is restricted to the domain D = {x | x >= 0}, what will be the domain of the inverse function?
8. Solve the exponential equation for x.
6x = 36x +1
9. Suppose the doubling time for a bacterial culture is 8 days. That is, after a 8-day period, the original number of bacteria will have doubled. If the original number of bacteria was 580, the formula relating the number after time x is given by
N(x) = 580•2x/8
Use a calculator to find the number of bacteria present after 32 days. Round your answer to the nearest bacteria.
12. Convert the exponential form of the equation to logarithmic form.
74 = 2401
20. Young male children have been studied and the relationship between their body length L, in centimeters, is related to their age A, in months, by the equation
L=42.37+32.77.logA
Find the body length of a 23-month old child, correct to the nearest 0.1 cm.
21. Use a calculator to approximate the antilogarithm of 1.325, correct to two decimal places.
22. Solve the exponential equation for x.
35x+2 =95x
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