document.write( "Question 392566: if f(x)=x^3 what is f^-1(1000) \n" ); document.write( "
Algebra.Com's Answer #278626 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! f(x)=x^(3)_f^(-1)(1000)\r \n" ); document.write( "\n" ); document.write( "To find the inverse of the function, interchange the variables and solve for f^(-1)(x). \n" ); document.write( "x=f^(-1)(x)^(3)\r \n" ); document.write( "\n" ); document.write( "Since f^(-1)(x) is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "f^(-1)(x)^(3)=x\r \n" ); document.write( "\n" ); document.write( "Take the cube root of both sides of the equation to eliminate the exponent on the left-hand side. \n" ); document.write( "f^(-1)(x)=~3:(x)\r \n" ); document.write( "\n" ); document.write( "Evaluate the inverse f^(-1) at x=1000. \n" ); document.write( "f^(-1)(1000)=~3:((1000))\r \n" ); document.write( "\n" ); document.write( "Simplify the function. \n" ); document.write( "f^(-1)(1000)=10 \n" ); document.write( " |