document.write( "Question 58042This question is from textbook
\n" );
document.write( ": find (a)f o g (b)g o f .find the domain of each function and each composite funcition.\r
\n" );
document.write( "\n" );
document.write( "Given: f(x)= x^2 +1 g(x)=square root of x\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "i can find f(g) and g(f) but i cant find the domains \n" );
document.write( "
Algebra.Com's Answer #39701 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! find (a)f o g (b)g o f .find the domain of each function and each composite funcition. \n" ); document.write( "Given: f(x)= x^2 +1 g(x)=square \n" ); document.write( " root of x\r \n" ); document.write( "\n" ); document.write( "i can find f(g) and g(f) but i cant find the domains \n" ); document.write( "OK....DOMAIN I SHALL TELL YOU.. \n" ); document.write( "THE VALUES X CAN TAKE TO MAKE THE FUNCTION REAL IS DOMAIN. \n" ); document.write( "IN THE FIRST CASE \n" ); document.write( "F(X)=X^2+1....X CAN TAKE ANY REAL VALUE..SO DOMAIN IS ALL REAL NUMBERS. \n" ); document.write( "IN SET NOTATION WE WRITE IT AS (-INFINITY,+INFINITY) \n" ); document.write( "IN THE SECOND CASE \n" ); document.write( "G(X)=SQRT(X) \n" ); document.write( "NOW IF X IS NEGATIVE THE FUNCTION BECOMES IMAGINARY..HENCE X CANNOT BE NEGATIVE. \n" ); document.write( "SO WE SAY DOMAIN OF X IS ALLREAL VALUES GREATER THAN OR EQUAL TO ZERO. \n" ); document.write( "IN SET NOTATION WE WRITE IT AS (0,INFINITY) \n" ); document.write( " |