b b 103. DISCOVER - PROVE: Values of a Rational Expression Consider the expression for x > 0. (a) Fill in the table, and try other values for x. What do you think is the smallest possible value for this expression? 1 99 100 10 1 x + (b) Prove that for x> 0, x+ [Hint: Multiply by x, move terms to one side, and then fac- tor to arrive at a true statement. Note that each step you made is reversible.] 3.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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DISCOVER ■ PROVE: Values of a Rational Expression
Consider the expression

b
b
103. DISCOVER - PROVE: Values of a Rational Expression
Consider the expression
for x > 0.
(a) Fill in the table, and try other values for x. What do you
think is the smallest possible value for this expression?
1
99
100
10
1
x +
(b) Prove that for x> 0,
x+
[Hint: Multiply by x, move terms to one side, and then fac-
tor to arrive at a true statement. Note that each step you
made is reversible.]
3.
Transcribed Image Text:b b 103. DISCOVER - PROVE: Values of a Rational Expression Consider the expression for x > 0. (a) Fill in the table, and try other values for x. What do you think is the smallest possible value for this expression? 1 99 100 10 1 x + (b) Prove that for x> 0, x+ [Hint: Multiply by x, move terms to one side, and then fac- tor to arrive at a true statement. Note that each step you made is reversible.] 3.
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