document.write( "Question 71849: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.\r
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\n" ); document.write( "\n" ); document.write( "for the function f(x) shown in the earlier problem, find the domain and range of f^-1(x) \n" ); document.write( "
Algebra.Com's Answer #51350 by venugopalramana(3286)\"\" \"About 
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The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots.\r
\n" ); document.write( "\n" ); document.write( " Express f(x) as a product of linear and quadratic polynomials with real coefficients.
\n" ); document.write( "ROOTS ARE -3,4I
\n" ); document.write( "SINCE COEFFICIENTS ARE REAL , CONJUGATE OF 4I ...THAT IS -4I MUST BE ROOT
\n" ); document.write( "HENCE F(X)
\n" ); document.write( "=[X+3][X-4I][X+4I]=[X+3][X^2-16I^2]=[X+3][X^2+16]
\n" ); document.write( "=X^3+3X^2+16X+48\r
\n" ); document.write( "\n" ); document.write( "for the function f(x) shown in the earlier problem, find the domain and range of f^-1(x)
\n" ); document.write( "FOR F(X) DOMAIN IS ANY REAL VALUE OF X and range is also any real
\n" ); document.write( "value of x.
\n" ); document.write( "HENCE FOR F^-1(X), ALSO THE DOMAIN AND RANGE ARE ALL REAL NUMBERS.
\n" ); document.write( "HOWEVER , PLEASE NOTE THAT f^(-x) is not a function as it does not give raise to a
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