document.write( "Question 1179406: Given f(x) = 2x+3 and g(x) = 4-5x, determine the value of x for which f(2x) = g(1-x). \n" ); document.write( "

Algebra.Com's Answer #808958 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( " $\"f%28x%29+=+2x%2B3+\"$
\n" ); document.write( " $\"g%28x%29+=+4-5x\"$ \r
\n" ); document.write( "\n" ); document.write( "determine the value of $\"x\"$ for which $\"f%282x%29+=+g%281-x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%282x%29+=+2%2A2x%2B3+\"$
\n" ); document.write( " $\"f%282x%29+=+4x%2B3+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"g%281-x%29+=+4-5%281-x%29\"$
\n" ); document.write( " $\"g%281-x%29+=+4-5%2B5x\"$
\n" ); document.write( " $\"g%281-x%29+=+-1%2B5x\"$ \r
\n" ); document.write( "\n" ); document.write( "equal them\r
\n" ); document.write( "\n" ); document.write( " $\"4x%2B3+=+-1%2B5x\"$ ...........solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2B3+=+-4x%2B5x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ \r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"f%282x%29=+4%2A4%2B3+=19\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"g%281-x%29+=+-1%2B5%2A4=19\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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