# 3.2

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1.A function is given by a table of values. Determine whether it is one-to-one.
5. A function is given by a formula. Determine whether it is one-to-one. F(x) = x^2 – 2x
6. A function is given by a formula. Determine whether it is one-to-one. G(x) = cos(x)
7. Assume that f is a one-to-one function.
(a) If f(4) = 13, what is f^-1(13)
(b) If f^-1(6) = 7, what is f(7)
8. If g(x) = 2 + x + e^x, find g^-1(3)
9. Find the formula for the inverse of the function. f(x) = 1 + sqrt(3 + 4x)
10. Find the formula for the inverse of the function. f(x) = 6x -1/ 2x + 5
11. Find the formula for the inverse of the function. f(x) = e^ 9x – 3
12. Find the formula for the inverse of the function. y = ln( x + 3)
13. Express the given quantity as a single logarithm. ln(a + b) + ln(a – b) – 3 ln c
14. Express the given quantity as a single logarithm. 1/7 ln(x + 2)^7 + 1/2 [ln x – ln (x^2 + 3x + 2)^2]
15. Solve each equation for x.
(a) e^4-4x = 7
(b) ln(3x -12) = 3