document.write( "Question 647815: Let f(x)=x^2-1 and g(x)=1-2x Find the indicated values
\n" ); document.write( "f(g(-1)) and g(f(-1) I have 4 of these types of questions on my homework and have no idea how to solve them. This is the first one so there is other equation to help! Thanks!!
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Algebra.Com's Answer #406406 by Algebraic(50)\"\" \"About 
You can put this solution on YOUR website!
You need to plug in the inner value first and then you can do it all together.\r
\n" ); document.write( "\n" ); document.write( "Original equations: \"f%28x%29=x%5E2-1\" and \"g%28x%29=1-2x\"\r
\n" ); document.write( "\n" ); document.write( "Find \"f%28g%28-1%29%29\" and \"g%28f%28-1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Step 1: We'll begin by doing this equation first: \"f%28g%28-1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "You're going to want to solve \"g%28-1%29\" first.\r
\n" ); document.write( "\n" ); document.write( "\"g%28-1%29=1-2%28-1%29\"\r
\n" ); document.write( "\n" ); document.write( "Step 2: Simplify\r
\n" ); document.write( "\n" ); document.write( "\"g%28-1%29=1%2B2\"
\n" ); document.write( "\"g%28-1%29=3\"\r
\n" ); document.write( "\n" ); document.write( "So, now we know that \"g%28-1%29=3\", so let's replace '3' into the \"f%28x%29=x%5E2-1\" equation.\r
\n" ); document.write( "\n" ); document.write( "Step 1: Replace '3' into the equation\r
\n" ); document.write( "\n" ); document.write( "\"f%283%29=3%5E2-1\"\r
\n" ); document.write( "\n" ); document.write( "Step 2: Simplify\r
\n" ); document.write( "\n" ); document.write( "\"f%283%29=9-1\"
\n" ); document.write( "\"f%283%29=8\"\r
\n" ); document.write( "\n" ); document.write( "The answer to \"f%28g%28-1%29%29\" is 8.\r
\n" ); document.write( "\n" ); document.write( "Let's do the other equation now (\"g%28f%28-1%29%29\")\r
\n" ); document.write( "\n" ); document.write( "You're going to want to solve \"f%28-1%29\" first.\r
\n" ); document.write( "\n" ); document.write( "Step 1: Replace '-1' into the f(x) equation\r
\n" ); document.write( "\n" ); document.write( "\"f%28-1%29=%28-1%29%5E2-1\"
\n" ); document.write( "\"f%28-1%29=1-1\"
\n" ); document.write( "\"f%28-1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "Now we know that \"f%28-1%29=0\", so let's replace '0' into the \"g%28x%29=1-2x\" equation.\r
\n" ); document.write( "\n" ); document.write( "Step 1: Replace '0' into the equation\r
\n" ); document.write( "\n" ); document.write( "\"g%280%29=1-2%280%29\"\r
\n" ); document.write( "\n" ); document.write( "Step 2: Simplify\r
\n" ); document.write( "\n" ); document.write( "\"g%280%29=1-0\"
\n" ); document.write( "\"g%280%29=1%29\"\r
\n" ); document.write( "\n" ); document.write( "The answer to \"g%28f%28-1%29%29\" is 1.
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