Math Unit 1.docx

# Math Unit 1.docx - Total/140 Math Unit 1 2 5 x 3 � −(4 x...

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Total /140 Math Unit 1 1. 5 x + 3 ¿ 2 −( 4 x + 1 )( 6 x ) ¿ ¿ ( 5 x + 3 ) ( 5 x + 3 ) ( 4 x + 1 ) ( 6 x ) ¿ ( 25 x 2 + 15 x + 15 x + 9 ) ( 24 x 4 x 2 + 6 x ) ¿ 25 x 2 + 15 x + 15 x + 9 24 x + 4 x 2 6 + x ¿ 25 x 2 + 4 x 2 + 30 x 24 x + x + 9 6 ¿ 29 x 2 + 7 x + 3 2. a) 6 80 + 2 75 8 245 14 108 ¿ 6 5 × 16 + 2 3 × 25 8 49 × 5 14 3 × 36 ¿ 6 ( 4 5 )+ 2 ( 5 3 )− 8 ( 7 5 )− 14 ( 6 3 ) ¿ 24 5 + 10 3 56 5 84 3 ¿ 80 5 74 3 b) ( 2 5 4 6 )( 3 3 + 8 2 ) ¿ 2 5 ( 3 3 ) + 2 5 ( 8 2 ) 4 6 ( 3 3 ) 4 6 ( 8 2 ) ¿ ( 2 × 3 )( 5 × 3 )+( 2 × 8 ) ( 5 × 2 ) −( 4 × 3 ) ( 6 × 3 ) −( 4 × 8 )( 6 × 2 ) ¿ 6 15 + 16 10 12 18 32 12 ¿ 6 15 + 16 10 12 9 × 2 32 4 × 3 ¿ 6 15 + 16 10 12 ( 3 ) 2 32 ( 2 ) 3 Subscribe to view the full document.

¿ 6 15 + 16 10 36 2 64 3 great 3. a) x 2 x 6 x 2 4 ÷ x 2 2 x + 1 x 2 1 ¿ x 2 x 6 x 2 4 × x 2 1 x 2 2 x + 1 ¿ ( x + 2 )( x 3 ) ( x 2 )( x + 2 ) × ( x + 1 )( x 1 ) ( x 1 )( x 1 ) ¿ ( x 3 ) ( x 2 ) × ( x + 1 ) ( x 1 ) ¿ ( x 3 )( x + 1 ) ( x 2 )( x 1 ) ¿ x 2 2 x 3 x 2 3 x + 2 Denominator of each fraction should not be equal to zero, and the numerator of the second fraction should not be equal to zero as well (we cannot divide by zero). ( x 2 0 ) , ( x + 2 0 ) , ( x 1 0 ) , ( x + 1 0 ) x≠ 2, x ≠ 2, x≠ 1, x≠ 1 b) 2 x 9 x 2 + 15 x 8 3 x + 5 ¿ 2 x 3 x ( 3 x + 5 ) 8 3 x + 5 ¿ 2 x 3 x ( 3 x + 5 ) 3 8 3 x ( 3 x + 5 ) Subscribe to view the full document.

¿ 2 x −( 3 x × 8 ) 3 x ( 3 x + 5 ) ¿ 2 x 24 x 3 x ( 3 x + 5 ) ¿ 22 x 3 x ( 3 x + 5 ) ¿ 22 3 ( 3 x + 5 ) ¿ 22 9 x + 15 3 x≠ 0,3 x + 5 0 x≠ 0,3 x ≠ 5 x≠ 0, x≠ 1 2 3 yes 4. g ( x ) = 3 x ( 3 x + 1 ) −( 1 + 9 x 2 ) ¿ 9 x 2 + 3 x 1 9 x 2 ¿ 3 x 1 ¿ ( 3 x 1 )( 2 x + 3 ) 2 x + 3 ¿ 6 x 2 2 x + 9 x 3 2 x + 3 ¿ 6 x 2 + 7 x 3 2 x + 3 ¿ f ( x ) g ( x ) = f ( x ) As we can see, the expression g(x) is equal to the expression f(x). The function f(x) is not determined in point x= −1.5 while the domain for function g(x) is all real numbers. The only difference between the two functions is in the restrictions on the variable. Subscribe to view the full document.

yes 5. The function y =( x + 1 ) 2 8 is a quadratic function. The function y = x 3 is a square root function. The function y = 1 x + 4 is a reciprocal function. yes 6. a) y =( x + 1 ) 2 8 D ={ x R } R = { x R | y ≥ 8 } b) y = x 3 D = { x R | x≥ 3 } R = { y R | y ≥ 0 } c) y = 1 x + 4 D = { x R | x≠ 4 } R = { y R | y ≠ 0 } great 7. Subscribe to view the full document. • Spring '18
• Leigh
• Graph of a function

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