document.write( "Question 218207: Can someone help me with this please. IF f(x)=3x+1, and g(x)=(x^*2+5x)^*-1/2, find g(f(x)). Any explanation on how to do it would be appreciated.. \n" ); document.write( "

Algebra.Com's Answer #164347 by Alan3354(69443) $\"\"$ $\"About$

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Can someone help me with this please. IF f(x)=3x+1, and g(x)=(x^*2+5x)^*-1/2, find g(f(x)). Any explanation on how to do it would be appreciated..
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\n" ); document.write( "By x^*2 I suppose you mean x squared. Use x^2 instead.
\n" ); document.write( "g(x)=(x^2+5x)^-1/2
\n" ); document.write( "Substitute f(x), which is 3x+1, for x
\n" ); document.write( " $\"g%28f%28x%29%29+=+%28%283x%2B1%29%5E2+%2B+5%283x%2B1%29%29%5E%28-1%2F2%29\"$
\n" ); document.write( "= $\"%289x%5E2+%2B+6x+%2B+1+%2B+15x+%2B+5%29%5E%28-1%2F2%29\"$
\n" ); document.write( "= $\"%289x%5E2+%2B+21x+%2B6%29%5E%28-1%2F2%29\"$
\n" ); document.write( "or, $\"1%2Fsqrt%289x%5E2%2B21x%2B6%29\"$
\n" ); document.write( " \n" ); document.write( "

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