document.write( "Question 135260: Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.\r
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Algebra.Com's Answer #99091 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
I'm presuming that you meant: \"f%28x%29+=+-x%5E2+%2B+2x+%2B+3\" and \"g%28x%29+=+%28x-2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%28%28f%28x%29%29-2%29%5E2=%28f%28x%29%29%5E2-4%28f%28x%29%29%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "Just substitute \"-x%5E2+%2B+2x+%2B+3\" everywhere you see \"f%28x%29\" in \"%28f%28x%29%29%5E2-4%28f%28x%29%29%2B4\" and start multiplying. Take care with your signs. Remember a minus sign distributes across parentheses when you remove any parentheses. Collect your like terms and you are done.
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