Simplify two rational functions: 2x - 2 4x2 f(x) = and g(x) = x² - 1 2x² + x - 1 -e the two rational functions equivalent? Explain.

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Chapter2: Second-order Linear Odes
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4. Simplify two rational functions:
2x - 2
4x - 2
f(x)
x² - 1
2x² + x1
Are the two rational functions equivalent? Explain.
=
and g(x) =
=
Transcribed Image Text:4. Simplify two rational functions: 2x - 2 4x - 2 f(x) x² - 1 2x² + x1 Are the two rational functions equivalent? Explain. = and g(x) = =
Expert Solution
Step 1: Given rational functions

f open parentheses x close parentheses equals fraction numerator 2 x minus 2 over denominator x squared minus 1 end fraction space a n d space g open parentheses x close parentheses equals fraction numerator 4 x minus 2 over denominator 2 x squared plus x minus 1 end fraction

Lets first simplify them.

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