document.write( "Question 42289: for the given funtions f and g, find
\n" ); document.write( "(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)
\n" ); document.write( "f(x)=2x; g(x)=3-1/2x^2 \n" ); document.write( "

Algebra.Com's Answer #27491 by nik_consult(24) $\"\"$ $\"About$

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for the given funtions f and g, find
\n" ); document.write( "(a) (f o g)(4) (b)(f o g)(2) (c)(f o f)(1)
\n" ); document.write( "f(x)=2x; g(x)=3-1/2x^2\r
\n" ); document.write( "\n" ); document.write( "solution:
\n" ); document.write( "(a) g(4)= 3-1/2(4)^2
\n" ); document.write( " = 3- 1 / 32
\n" ); document.write( " = 2 $\"%2831%29%2F%2832%29\"$
\n" ); document.write( "so, (f o g)(4)= f[g(4)]
\n" ); document.write( " = f[2 $\"%2831%29%2F%2832%29\"$ ]
\n" ); document.write( " = 2 x [2 $\"%2831%29%2F%2832%29\"$ ]
\n" ); document.write( " = 5 $\"%2815%29%2F%2816%29\"$
\n" ); document.write( "(b)g(2)= 3-1/2(2)^2
\n" ); document.write( " = 3-1/8
\n" ); document.write( " = 2 $\"%287%29%2F%288%29\"$
\n" ); document.write( "so,(f o g)(2)= f[g(2)]
\n" ); document.write( " = f[2 $\"%287%29%2F%288%29\"$ ]
\n" ); document.write( " = 2 x 2 $\"%287%29%2F%288%29\"$
\n" ); document.write( " = 5 $\"%283%29%2F%284%29\"$
\n" ); document.write( "(c)f(1)= 2(1)=2
\n" ); document.write( "so, (f o f)(1)= f[f(1)]
\n" ); document.write( " = f[2]
\n" ); document.write( " = 2(2)
\n" ); document.write( " = 4
\n" ); document.write( " \n" ); document.write( "

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