SAT数学Problem Solving练习题(6)
- 2017年07月25日13:31 来源:互联网
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Question 6: f(x) = 1/(x + 1) and g(x) = x + 1. What are the values of x for which f(x) = g(x)?
(a) x1 = 0 and x2 = 2
(b) x1 = 0 and x2 = 1
(c) x1 = 2 and x2 = -2
(d) x1 = 0 and x2 = -2
(e) x1 = 1 and x2 = -2
Answer: f(x) = g(x) means x + 1 = 1/(x + 1);
(x + 1) · (x + 1) = 1;
x2 + 2 · x = 0
x · (x + 2) = 0 so x1 = 0 and x2 = -2.
(d) is the correct answer.