document.write( "Question 155916: Given: f(x)=x^2-4 g(x)=sqrt 2x+4\r
\n" ); document.write( "\n" ); document.write( "1)f(x)=o when x=
\n" ); document.write( "2)f(g(x))
\n" ); document.write( "3)g(f(0))
\n" ); document.write( "4)find the inverse of f(x) \n" ); document.write( "

Algebra.Com's Answer #114859 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) $\"f%28x%29=x%5E2-4=0\"$
\n" ); document.write( " $\"x%5E2=4\"$
\n" ); document.write( " $\"x=2\"$ and $\"x=-2\"$
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\n" ); document.write( "2) $\"f%28x%29=x%5E2-4\"$
\n" ); document.write( " $\"g%28x%29=sqrt%282x%2B4%29\"$
\n" ); document.write( " $\"f%28g%28x%29%29=%28sqrt%282x%2B4%29%29%5E2-4\"$
\n" ); document.write( " $\"f%28g%28x%29%29=%282x%2B4%29-4\"$
\n" ); document.write( " $\"f%28g%28x%29%29=2x\"$
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\n" ); document.write( "3) $\"f%28x%29=x%5E2-4\"$
\n" ); document.write( " $\"g%28x%29=sqrt%282x%2B4%29\"$
\n" ); document.write( " $\"g%28f%28x%29%29=sqrt%282%28x%5E2-4%29%2B4%29\"$
\n" ); document.write( " $\"g%28f%28x%29%29=sqrt%282x%5E2-8%2B4%29\"$
\n" ); document.write( " $\"g%28f%28x%29%29=sqrt%282x%5E2-4%29\"$
\n" ); document.write( " $\"g%28f%280%29%29=sqrt%282%280%29%5E2-4%29\"$
\n" ); document.write( " $\"g%28f%280%29%29=sqrt%28-4%29\"$
\n" ); document.write( " $\"g%28f%280%29%29=2%2Asqrt%28-1%29\"$
\n" ); document.write( " $\"g%28f%280%29%29=2i\"$
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\n" ); document.write( "1) $\"f%28x%29=x%5E2-4\"$
\n" ); document.write( " $\"y=x%5E2-4\"$ Use x,y nomenclature
\n" ); document.write( " $\"x=y%5E2-4\"$ Interchange x and y
\n" ); document.write( " $\"y%5E2=x%2B4\"$ Solve for y.
\n" ); document.write( " $\"y=0%2B-sqrt%28x%2B4%29\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=0%2B-sqrt%28x%2B4%29\"$
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