document.write( "Question 85706: I have a question that states: find (g of f)(x) for the pair of functions. f(x)=x+2 and g(x)=squareroot of x+5, x is greater than or equal -5. I have no clue how to do this!?! \n" ); document.write( "
Algebra.Com's Answer #61932 by Nate(3500)![]() ![]() ![]() You can put this solution on YOUR website! (g of f)(x) means g[f(x)] meaning g(x + 2) \n" ); document.write( "g(x) = sqrt(x + 5) \n" ); document.write( "g(x + 2) = sqrt(x + 2 + 5) \n" ); document.write( "g(x + 2) = sqrt(x + 7) \n" ); document.write( "g[f(x)] >= -5 \n" ); document.write( "sqrt(x + 7) >= -5 \n" ); document.write( "x + 7 >= 25 \n" ); document.write( "x >= 18 \n" ); document.write( "With Rule: \n" ); document.write( "x + 7 >= 0 \n" ); document.write( "x >= -7 \n" ); document.write( " |