document.write( "Question 1208022: Assume that f(3) = 4. Name a point that must be on the graph of y= -5f(2x - 3) + 1 \n" ); document.write( "
Algebra.Com's Answer #846140 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "I'll go over a similar example.\r
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\n" ); document.write( "\n" ); document.write( "Problem
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document.write( "Given f(4) = 5\r\n" );
document.write( "Find a point on g(x) = 2*f(3x+1) + 7\r\n" );
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Solution\r
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\n" ); document.write( "\n" ); document.write( "Compare f(4) with f(3x+1)
\n" ); document.write( "Equate the inputs and solve for x.
\n" ); document.write( "4 = 3x+1
\n" ); document.write( "3x = 4-1
\n" ); document.write( "3x = 3
\n" ); document.write( "x = 3/3
\n" ); document.write( "x = 1
\n" ); document.write( "Therefore x = 1 leads to 3x+1 = 4.
\n" ); document.write( "If x = 1 then f(3x+1) = f(4) = 5.\r
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\n" ); document.write( "\n" ); document.write( "Then,
\n" ); document.write( "g(x) = 2*f(3x+1) + 7
\n" ); document.write( "g(1) = 2*f(3*1+1) + 7
\n" ); document.write( "g(1) = 2*f(4) + 7
\n" ); document.write( "g(1) = 2*5 + 7
\n" ); document.write( "g(1) = 10 + 7
\n" ); document.write( "g(1) = 17
\n" ); document.write( "We have shown that (1,17) is on g(x).
\n" ); document.write( "Keep in mind this is likely not the final answer to your particular question, but you can use it as a template to solve.
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