document.write( "Question 56072: Given f(x)=3x+4 \r
\n" );
document.write( "\n" );
document.write( "1. Is f(x) a function? Why or why not? \r
\n" );
document.write( "\n" );
document.write( "2. Is f -1(x) a function? Why or why not? \n" );
document.write( "
Algebra.Com's Answer #38029 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Given f(x)=3x+4 \n" ); document.write( "1. Is f(x) a function? Why or why not? \n" ); document.write( "Yes, it is a function because for each value of \"x\" \n" ); document.write( "there is only one value of \"y\"---the y will be 3 times \n" ); document.write( "the x value plus 4. \n" ); document.write( "-------------- \n" ); document.write( "2. Is f -1(x) a function? Why or why not? \n" ); document.write( "Yes it is. The inverse function can be found as follows: \n" ); document.write( "y=3x+4 \n" ); document.write( "Interchange x and y to get: \n" ); document.write( "x=3y+4 \n" ); document.write( "Solve for y to get: \n" ); document.write( "y=(1/3)x-(4/3) \n" ); document.write( "This is a function for the same reasons given \n" ); document.write( "in part #1. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |