document.write( "Question 1197895: Find the composition of functions indicated:\r
\n" ); document.write( "\n" ); document.write( "1. g[f(x)] if g(x) = x2 and f(x) = x + 3.\r
\n" ); document.write( "\n" ); document.write( "A. x2 + 6x + 9
\n" ); document.write( "B. x2 + x + 3
\n" ); document.write( "C. x2 - x - 3
\n" ); document.write( "D. x3 + 3x2
\n" ); document.write( "E. x2 + 3
\n" ); document.write( "F. x2 + 9\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. f[g(x)] if g(x) = x2 and f(x) = x + 3.\r
\n" ); document.write( "\n" ); document.write( "A. x2 + 6x + 9
\n" ); document.write( "B. x2 + 3
\n" ); document.write( "C. x3 + 3x2
\n" ); document.write( "D. x2 + x + 3
\n" ); document.write( "E. x2 - x - 3
\n" ); document.write( "F. x2 + 9\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. g[f(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5\r
\n" ); document.write( "\n" ); document.write( "A. 8x2 - 19
\n" ); document.write( "B. 8x3 + 6
\n" ); document.write( "C. 16x2 + 8x - 2
\n" ); document.write( "D. 8x2 - 20
\n" ); document.write( "E. 16x2 + 8x - 20
\n" ); document.write( "F. 32x2 + 16x - 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. f[g(x)] if f(x) = 4x + 1 and g(x) = 2x2 - 5\r
\n" ); document.write( "\n" ); document.write( "A. 32x2 + 16x - 3
\n" ); document.write( "B. 8x3 + 6
\n" ); document.write( "C. 16x2 + 8x - 2
\n" ); document.write( "D. 8x2 - 19
\n" ); document.write( "E. 8x2 - 20
\n" ); document.write( "F. 16x2 + 8x - 20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5. g[f(x)] if g(x)=√(x) and f(x)= x + 1\r
\n" ); document.write( "\n" ); document.write( "A. √(x + 1)
\n" ); document.write( "B. √(x) + 1
\n" ); document.write( "C. x2 + 1
\n" ); document.write( "D. x2 + x + 1
\n" ); document.write( "E. x2 + x
\n" ); document.write( "F. x + 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6. f[g(x)] if g(x)=√(x) and f(x)= x + 1\r
\n" ); document.write( "\n" ); document.write( "A. √(x + 1)
\n" ); document.write( "B. x2 + 1
\n" ); document.write( "C. √(x) + 1
\n" ); document.write( "D. x2 + x
\n" ); document.write( "E. x + 1
\n" ); document.write( "F. x2 + x + 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "7. s[h(x)] if s(x) = 2x and h(x) = x2\r
\n" ); document.write( "\n" ); document.write( "A. 4
\n" ); document.write( "B. 2(x2)
\n" ); document.write( "C. 4x
\n" ); document.write( "D. x(2x)
\n" ); document.write( "E. x2
\n" ); document.write( "F. 2x2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "8. h[s(x)] if s(x) = 2x and h(x) = x2\r
\n" ); document.write( "\n" ); document.write( "A. (2x)2
\n" ); document.write( "B. 4
\n" ); document.write( "C. 42x
\n" ); document.write( "D. x(2x)
\n" ); document.write( "E. x2
\n" ); document.write( "F. 2x2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9. n[m(t)] if n(x) = 3x and m(t) = √(t) + 1\r
\n" ); document.write( "\n" ); document.write( "A. √(3x) + 1
\n" ); document.write( "B. 3[√(t)]
\n" ); document.write( "C. √(t) + 3
\n" ); document.write( "D. 3[√(t) + 1]
\n" ); document.write( "E. 3[√(t)] + 3
\n" ); document.write( "F. √(3x) + 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10. m[n(x)] if n(x) = 3x and m(t) = √(t) + 1\r
\n" ); document.write( "\n" ); document.write( "A. 3[√(t) + 1]
\n" ); document.write( "B. 3[√(t)] √(t) + 3
\n" ); document.write( "C. √(t) + 3
\n" ); document.write( "D. √(3x) + 1
\n" ); document.write( "E. √(3x) + 3
\n" ); document.write( "F. 3[√(t)] + 3
\n" ); document.write( "

Algebra.Com's Answer #831339 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1. \"g%28f%28x%29%29+\"if \"g%28x%29+=+x%5E2\" and \"f%28x%29+=+x+%2B+3\".\r
\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29+=g%28x+%2B+3%29\"
\n" ); document.write( "\"g%28f%28x%29%29+=%28x+%2B+3%29%5E2\"
\n" ); document.write( " \"g%28f%28x%29%29+=x%5E2+%2B+6+x+%2B+9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A.\"+x%5E2+%2B+6x+%2B+9\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.\"+f%28g%28x%29%29\" if \"g%28x%29+=+x%5E2\" and \"f%28x%29+=+x+%2B+3\".\r
\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29+=f%28x%5E2%29+\"
\n" ); document.write( "\"f%28g%28x%29%29+=x%5E2%2B3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "B. \"x%5E2+%2B+3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. \"g%28f%28x%29%29+\"if \"f%28x%29+=+4x+%2B+1+\"and\"+g%28x%29+=+2x%5E2+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29+=g%284x+%2B+1%29+\"
\n" ); document.write( "\"g%28f%28x%29%29+=2%284x+%2B+1%29%5E2-5\"
\n" ); document.write( "\"g%28f%28x%29%29+=2%2816+x%5E2+%2B+8+x+%2B+1%29-5\"
\n" ); document.write( "\"g%28f%28x%29%29+=32+x%5E2+%2B+16+x+%2B+2-5\"
\n" ); document.write( "\"+g%28f%28x%29%29+=32+x%5E2+%2B+16+x+-3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "F. \"32x%5E2+%2B+16x+-+3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. \"f%28g%28x%29%29\" if \"f%28x%29+=+4x+%2B+1+\"and \"g%28x%29+=+2x%5E2+-+5\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=f%282x%5E2+-+5%29\"
\n" ); document.write( "\"f%28g%28x%29%29=4%282x%5E2+-+5%29%2B1\"
\n" ); document.write( "\"f%28g%28x%29%29=8x%5E2+-+20%2B1\"
\n" ); document.write( "\"f%28g%28x%29%29=8x%5E2+-+19\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "D. \"8x%5E2+-+19\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5.\"+g%28f%28x%29%29+\"if \"g%28x%29=sqrt%28x%29\" and\"+f%28x%29=+x+%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29+=g%28x+%2B+1%29+\"
\n" ); document.write( "\"g%28f%28x%29%29+=sqrt%28x+%2B+1%29+\"\r
\n" ); document.write( "\n" ); document.write( "A. \"sqrt%28x+%2B+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6. \"f%28g%28x%29%29\" if \"g%28x%29=sqrt%28x%29+\"and \"f%28x%29=+x+%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=f%28sqrt%28x%29%29\"
\n" ); document.write( "\"f%28g%28x%29%29=sqrt%28x%29%2B1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "C. \"sqrt%28x%29+%2B+1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "7. \"s%28h%28x%29%29+\"if \"s%28x%29+=+2x+\"and \"h%28x%29+=+x%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"s%28h%28x%29%29+=s%28x%5E2%29\"
\n" ); document.write( "\"s%28h%28x%29%29+=2%28x%5E2%29\"
\n" ); document.write( "\"s%28h%28x%29%29+=2x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "answer is\r
\n" ); document.write( "\n" ); document.write( "F. \"2x%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "8. \"h%28s%28x%29%29+\"if \"s%28x%29+=+2x+\"and \"h%28x%29+=+x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"h%28s%28x%29%29+=h%282x%29\"
\n" ); document.write( "\"h%28s%28x%29%29+=%282x%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A.\"+%282x%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9. \"n%28m%28t%29%29+\"if \"n%28x%29+=+3x\" and \"m%28t%29+=+sqrt%28t%29+%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"n%28m%28t%29%29=n%28sqrt%28t%29+%2B+1%29+\"
\n" ); document.write( "\"n%28m%28t%29%29+=3%28sqrt%28t%29+%2B+1%29\"
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "D. \"3%28sqrt%28t%29+%2B+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10. \"m%28n%28x%29%29\" if \"n%28x%29+=+3x+\"and\"+m%28t%29+=+sqrt%28t%29++%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"m%28n%28x%29%29=m%283x+%29\"
\n" ); document.write( "\"m%28n%28x%29%29=sqrt%283x+%29%2B+1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "D. \"sqrt%283x%29+%2B+1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );