document.write( "Question 1192968: Find f[f(-3)] when f(x) = x^2 + 1. Is this the same as f(f(x))? \n" ); document.write( "
Algebra.Com's Answer #824916 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " There are two questions in your post, therefore, \r \n" ); document.write( "\n" ); document.write( " I give you two answers (one answer for each question).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) To find f(f(-3)), first find f(-3) = (-3)^2 + 1 = 9 + 1 = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Then find f(f(-3)) by substituting the value of 10 instead of the interior \"f(-3)\" into the formula for f(x)\r\n" ); document.write( "\r\n" ); document.write( " f(f(-3))) = f(10) = 10^2 + 1 = 101. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It is the answer to your first question.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) Next your question is whether f(f(-3)) is the same as f(f(x)).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " The answer is \"NO\", because f(f(-3)) is a number,\r\n" ); document.write( "\r\n" ); document.write( " while f(f(x)) is a polynomial function.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered and thoroughly explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comment from student : Oh I was asking about the f[f(x)] If it was the same as f(f(x)) but thank you!\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response : No, your second question was different.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Also, I do not like when the \"THANKS\" comes in such curved form . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |