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Simplify the sum. State any restrictions on the variable. StartFraction 2 z plus 4 Over z minus 9 EndFraction plusStartFraction 3 z plus 8 Over z minus 9 EndFraction Question content area bottom Part 1 Select the correct choice below and fill in the answer​ box(es) to complete your choice. A. StartFraction 2 z plus 4 Over z minus 9 EndFraction plusStartFraction 3 z plus 8 Over z minus 9 EndFraction equalsnegative 4 for all values of z ​(Simplify your​ answer.) B. StartFraction 2 z plus 4 Over z minus 9 EndFraction plusStartFraction 3 z plus 8 Over z minus 9 EndFraction equalsenter your response here for znot equalsenter your response here ​(Simplify your answers. Use a comma to separate answers as​ needed.)

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The sum simplifies to StartFraction 5z plus 12 Over z minus 9 EndFraction. The restriction on the variable is z cannot equal 9. Therefore, the correct choice is B, StartFraction 2 z plus 4 Over z minus 9 EndFraction plusStartFraction 3 z plus 8 Over z minus 9 EndFraction equals z not equals 9.
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