document.write( "Question 1105411: function f and g are defined by f(x)= 4x-3 g(x)=px+q find the value of p and q for which gg(x)=f(x) for all value of x. \n" ); document.write( "

Algebra.Com's Answer #720232 by KMST(5328) $\"\"$ $\"About$

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$\"g%28x%29=px%2Bq\"$ , $\"f%28x%29=+4x-3\"$
\n" ); document.write( " $\"%22g+%5B%22\"$ $\"%28x%29\"$ $\"%22%5D%22=p%28px%2Bq%29%2Bq=p%5E2x%2Bpq%2Bq=p%5E2x%2B%28p%2B1%29q\"$
\n" ); document.write( "If $\"%22g+%5B%22\"$ $\"%28x%29\"$ $\"%22%5D%22=f%28x%29\"$ for all values of x,
\n" ); document.write( "meaning that $\"p%5E2x%2B%28p%2B1%29q=4x-3\"$ for all values of x,
\n" ); document.write( "then $\"system%28p%5E2=4%2C%22and%22%2C%28p%2B1%29q=-3%29\"$ .
\n" ); document.write( "There are two solutions for $\"p%5E2=4\"$ : $\"system%28p=2%2C%22or%22%2Cp=-2%29\"$ .
\n" ); document.write( " $\"system%28p=2%2C%28p%2B1%29q=-3%29\"$ --> $\"system%28p=2%2C%282%2B1%29q=-3%29\"$ --> $\"system%28p=2%2C3q=-3%29\"$ --> $\"system%28p=2%2Cq=-3%2F3%29\"$ --> $\"highlight%28system%28p=2%2Cq=-1%29%29\"$
\n" ); document.write( "
\n" ); document.write( " $\"system%28p=-2%2C%28p%2B1%29q=-3%29\"$ --> $\"system%28p=-2%2C%28-2%2B1%29q=-3%29\"$ --> $\"system%28p=-2%2C%28-1%29q=-3%29\"$ --> $\"system%28p=-2%2Cq=-3%2F%28-1%29%29\"$ --> $\"highlight%28system%28p=-2%2Cq=1%29%29\"$ \n" ); document.write( "

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