document.write( "Question 464355: For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the formula for the inverse and give the domain and range for f -1. \n" ); document.write( "
Algebra.Com's Answer #318122 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the formula for the inverse and give the domain and range for f -1. \n" ); document.write( "... \n" ); document.write( " f (x) = 7x + 9 \n" ); document.write( "By definition f(x) is one-to-one because for each x there is only one y-value. You can also see this if you note that the function is a straight line. \n" ); document.write( ".. \n" ); document.write( "To find its inverse, interchange x and y, then solve for y. \n" ); document.write( "x=7y+9 \n" ); document.write( "7y=x-9 \n" ); document.write( "y=(x-9)/7=f-1 \n" ); document.write( "Domain: all real numbers (-∞,∞) \n" ); document.write( "Range:also, all real numbers (-∞,∞) \n" ); document.write( "note that this inverse is also a straight line \n" ); document.write( " |