document.write( "Question 1131867: Consider the functions f(x)=2x-8 and g(x)=x/2+4\r
\n" ); document.write( "\n" ); document.write( "a. Find f(g(x))\r
\n" ); document.write( "\n" ); document.write( "b. Find g(f(x))\r
\n" ); document.write( "\n" ); document.write( "c. Determine whether the functions f and g are inverses if each other.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a. What is f(g(x))?\r
\n" ); document.write( "\n" ); document.write( "Give any values of x that need to be excluded from f(g(x)). Select the choice below and fill in any answer boxes with your choice.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A. x (is not equal to symbol)\r
\n" ); document.write( "\n" ); document.write( "B. What is g(f(x))?
\n" ); document.write( "g(f(x))=\r
\n" ); document.write( "\n" ); document.write( "Give any values of x that need to be excluded from g(f(x)). Select the choice below and fill in any answer boxes with your choice.\r
\n" ); document.write( "\n" ); document.write( "A. x (is not equal to symbol)\r
\n" ); document.write( "\n" ); document.write( "B. No values should be excluded from the domain.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c. Are the functions f and g inverses of each other? \r
\n" ); document.write( "\n" ); document.write( "Yes
\n" ); document.write( "No
\n" ); document.write( "

Algebra.Com's Answer #748571 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"f%28g%28x%29%29=2%28x%2F2%2B4%29-8\"
\n" ); document.write( "\"x%2B8-8\"
\n" ); document.write( "\"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"g%28f%28x%29%29=%282x-8%29%2F2-4=x-4%2B4\"
\n" ); document.write( "\"x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28g%28x%29%29=g%28f%28x%29%29=x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f and g are inverses of each other.
\n" ); document.write( "
\n" );