document.write( "Question 1204557: If f(x)=3x-2 and gf(x)=6x-1,find the value of g-1(3) \n" ); document.write( "

Algebra.Com's Answer #840886 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( " $\"g%28f%28x%29%29=6x-1=2%283x-2%29%2B3=+2%28f%28x%29%29%2B3\"$

\n" ); document.write( "So $\"g%28x%29=2x%2B3\"$

\n" ); document.write( "Then to find g^(-1)(3)....

\n" ); document.write( " $\"2x%2B3=3\"$
\n" ); document.write( " $\"2x=0\"$
\n" ); document.write( " $\"x=0\"$

\n" ); document.write( "ANSWER: 0

\n" ); document.write( "CHECK:

\n" ); document.write( "f(0)=3(0)-2=-2
\n" ); document.write( "g(-2)=2(-2)+3=-1

\n" ); document.write( "g(f(x))=6x-1=6(0)-1=-1

\n" ); document.write( " \n" ); document.write( "

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