study_guide_4 - MAC1105 Review for Test 4 1 Perform the...

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MAC1105 — Review for Test 4 1. Perform the operations and simplilfy: a) 1 h bracketleftbigg 2 5 x + 5 h - 2 5 x bracketrightbigg b) ( a + 2 a a - 1 ) ÷ ( a - 2 a a - 1 ) c) x - 3 y 2 2 x - 3 y 2 2. If h ( x ) = 2 x x + 3 , find and simplify h parenleftbigg 4 x - 3 parenrightbigg a) h parenleftbigg 3 2 parenrightbigg b) h parenleftbigg 4 x - 3 parenrightbigg 3. Reduce to lowest terms: 15 a 2 b 7 - 12 a 3 b 2 4. Simplify each rational function: a) h ( x ) = 3 x 2 - 27 2 x 2 + 5 x - 3 b) g ( t ) = t 2 - 25 5 - t 5. Perform the indicated operations and simplify (reduce to lowest terms): a) x 2 - 5 x
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