document.write( "Question 711870: Can someone please help me with these problems. I do not even know where to start. please show all your work so I understand how you did them. Pretty please.\r
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document.write( "1.Find the domain of the composite function f o g
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document.write( "f(x)=sqrt x;g(x)=2x-5\r
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document.write( "2. Solve the following logarithmic equation. Exact answers only.
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document.write( "log4(x-4)=3-log4(x+8) \n" );
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Algebra.Com's Answer #437781 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1.Find the domain of the composite function f o g \n" ); document.write( "f(x)=sqrt x;g(x)=2x-5 \n" ); document.write( "---- \n" ); document.write( "fog = f[g(x)] = f[2x-5] = sqrt(2x-5) \n" ); document.write( "----- \n" ); document.write( "Domain: All Real Numbers >= 5/2 \n" ); document.write( "====================================== \n" ); document.write( " \n" ); document.write( "2. Solve the following logarithmic equation. Exact answers only. \n" ); document.write( "log4(x-4)=3-log4(x+8) \n" ); document.write( "--- \n" ); document.write( "log4(x-4)+ log4(x+8) = 3 \n" ); document.write( "----- \n" ); document.write( "log4[(x-4)(x+8)] = 3 \n" ); document.write( "---- \n" ); document.write( "(x-4)(x+8) = 4^3 \n" ); document.write( "--- \n" ); document.write( "x^2+4x-32 = 64 \n" ); document.write( "--- \n" ); document.write( "x^2 + 4x - 96 = 0 \n" ); document.write( "---- \n" ); document.write( "Factor: \n" ); document.write( "(x-8)(x+12) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 8 \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " \n" ); document.write( " |