document.write( "Question 1197898: For the following, find the composition of functions (fog)(x).\r
\n" ); document.write( "\n" ); document.write( "11. g(x) = 3x, f(x) = x + 1\r
\n" ); document.write( "\n" ); document.write( "A. 3x(x + 1)
\n" ); document.write( "B. 4x + 1
\n" ); document.write( "C. 3(x)2 + 1
\n" ); document.write( "D. 3(x + 1)
\n" ); document.write( "E. 3x + 1
\n" ); document.write( "F. x(x + 1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "12. g(x) = (2x) (1/2), f(x) = x2 + 1\r
\n" ); document.write( "\n" ); document.write( "A. 2x + (1/2)
\n" ); document.write( "B. (x2 + 1)
\n" ); document.write( "C. 2(x2)
\n" ); document.write( "D. 2x + 1
\n" ); document.write( "E. (x2 + 1)(2x)
\n" ); document.write( "F. (x2 + 1)(2x)1/2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "13. g(x) = 3/(x - 1), f(x) = (x - 1)/(x - 3)\r
\n" ); document.write( "\n" ); document.write( "A. (x - 1)/(x - 3) * 3/(x - 1)
\n" ); document.write( "B. (x - 1)/(x - 1) * 3/(x - 1)
\n" ); document.write( "C. (x - 4)/(x - 2)
\n" ); document.write( "D. (x - 4)/(3x - 3)
\n" ); document.write( "E. (x - 4)/(3x - 6)
\n" ); document.write( "F. 3x2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "14. g(x) = x2 - 8, f(x) = (-x + 1)1/2\r
\n" ); document.write( "\n" ); document.write( "A. (-x2 + 9)(1/2)
\n" ); document.write( "B. (-x2 - 8)(1/2)
\n" ); document.write( "C. (-x + 1)(1/2) (x2 - 8)
\n" ); document.write( "D. (-x + 1)(1/2) (x2 - 8)
\n" ); document.write( "E. (-x2 - 9)(1/2)
\n" ); document.write( "F. (x - 2)2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "15. g(x) = (x2 -16)(1/2), f(x) = (3 - x)(1/2)\r
\n" ); document.write( "\n" ); document.write( "A. (3 - x)(1/2), (x2 -16)(1/2)
\n" ); document.write( "B. (-x-13)(1/2)
\n" ); document.write( "C. (3-(x2 -16)(1/4))
\n" ); document.write( "D. (3x2 + 16)
\n" ); document.write( "E. (3x(1/2) + 16)
\n" ); document.write( "F. (3-(x2 -16)(1/2))(1/2)
\n" ); document.write( "

Algebra.Com's Answer #831350 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " find the composition of functions (\"f\"o\"g\")\"%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "11. \"g%28x%29+=+3x\", \"f%28x%29+=+x+%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28g%28x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%283x%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=3x%2B1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "E. \"3x+%2B+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "12. \"g%28x%29+=+%282x%29%5E+%281%2F2%29\", \"f%28x%29+=+x%5E2+%2B+1+\" (assumig you have that)\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28g%28x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28%282x%29%5E+%281%2F2%29%29\"
\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28sqrt%282x%29%29%5E2%2B1\"
\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=2x%2B1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "D.\"+2x+%2B+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "13. \"g%28x%29+=+3%2F%28x+-+1%29\", \"f%28x%29+=+%28x+-+1%29%2F%28x+-+3%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28g%28x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28+3%2F%28x+-+1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28+3%2F%28x+-+1%29-1%29%2F%283%2F%28x+-+1%29-3%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28+%284+-+x%29%2F%28x+-+1%29%29%2F%28%283+%282+-+x%29%29%2F%28x+-+1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%284+-+x%29%2F%283+%282+-+x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=-%28x+-+4%29%2F%28-3+%28x+-+2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28x+-+4%29%2F%283x+-+6%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "E. \"%28x+-+4%29%2F%283x+-+6%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "14. \"g%28x%29+=+x%5E2+-+8\",\"+f%28x%29+=+%28-x+%2B+1%29%5E%281%2F2%29\"
\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28x%5E2+-+8%29\"
\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28-%28x%5E2+-+8%29%2B1%29%5E%281%2F2%29\"
\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28-x%5E2+%2B+8%2B1%29%5E%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%28-x%5E2+%2B+9%29%5E%281%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A.\"+%28-x%5E2+%2B+9%29%5E%281%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "15.\"+g%28x%29+=+%28x%5E2+-16%29%5E%281%2F2%29\", \"f%28x%29+=+%283+-+x%29%5E%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=f%28%28x%5E2+-16%29%5E%281%2F2%29%29\"\r
\n" ); document.write( "\n" ); document.write( "(\"f\"o\"g\")\"%28x%29=%283-%28x%5E2+-16%29%5E%281%2F2%29%29%5E%281%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "F. \"%283-%28x%5E2+-16%29%5E%281%2F2%29%29%5E%281%2F2%29\"\r
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