document.write( "Question 1208333: For Problems 5-7, use f(x) = x ^ 3 - 3 and g(x) = 2 ^ x
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document.write( "5. Find (f+g)(x). 6
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document.write( "6. Evaluate f(4) and g(4).
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document.write( "7. Evaluate (f + g)(4) \n" );
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Algebra.Com's Answer #846694 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Problem 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(f+g)(x) = f(x) + g(x) \n" ); document.write( "(f+g)(x) = x^3-3 + 2^x \n" ); document.write( "(f+g)(x) = 2^x + x^3 - 3 \n" ); document.write( "There's not much to do here in terms of simplification.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------- \n" ); document.write( "Problem 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f(x) = x^3-3 \n" ); document.write( "f(4) = 4^3-3 \n" ); document.write( "f(4) = 64-3 \n" ); document.write( "f(4) = 61\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "g(x) = 2^x \n" ); document.write( "g(4) = 2^4 \n" ); document.write( "g(4) = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------- \n" ); document.write( "Problem 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(f+g)(x) = 2^x + x^3 - 3 \n" ); document.write( "(f+g)(4) = 2^4 + 4^3 - 3 \n" ); document.write( "(f+g)(4) = 16 + 64 - 3 \n" ); document.write( "(f+g)(4) = 77\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another approach. \n" ); document.write( "(f+g)(x) = f(x) + g(x) \n" ); document.write( "(f+g)(4) = f(4) + g(4) \n" ); document.write( "(f+g)(4) = 61 + 16 \n" ); document.write( "(f+g)(4) = 77 \n" ); document.write( " \n" ); document.write( " |