Provide an appropriate response.Prove that the function f is one-to-one.f(x) = 3x - 1
What will be an ideal response?
Assume that f(a) = f(b) for any numbers a and b in the domain of f.
Since f(a) = 3a - 1 and f(b) = 3b - 1, we have
3a - 1 = 3b - 1
3a = 3b
a = b
Thus if f(a) = f(b) then a = b and f is one-to-one.
You might also like to view...
Given the graph of f, find any values of x at which f ' is not defined.
A. x = 0 B. x = 3 C. x = 0, 3 D. Defined for all values of x
Express the number in standard notation.8.913 × 10-5
A. 0.0008913 B. -891,300 C. 0.000008913 D. 0.00008913
Solve the problem.Among a group of 85 investors, 27 owned shares of Stock A, 34 owned shares of Stock B, 44 owned shares of Stock C, 12 owned shares of both Stock A and Stock B, 13 owned shares of Stock A and Stock C, 18 owned shares of Stock B and Stock C, and 8 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 23; 31 B. 15; 31 C. 15; 36 D. 15; 39
Solve the radical equation.
= x + 4
A. {7} B. {9} C. {-6} D. {-7}