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
\n" ); document.write( "\n" ); document.write( "1.Find the domain of the composite function f o g
\n" ); document.write( "f(x)=sqrt x;g(x)=2x-5\r
\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( "

Algebra.Com's Answer #437781 by stanbon(75887)\"\" \"About 
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( "
\n" );