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.)
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.
