document.write( "Question 953740: Let f(x)=2x^2-9 and g(x)=x-7.
\n" ); document.write( "a) Find the composite function (f o g) (x)
\n" ); document.write( "b) (f o g) (5) \n" ); document.write( "

Algebra.Com's Answer #582485 by nerdybill(7384) $\"\"$ $\"About$

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Let f(x)=2x^2-9 and g(x)=x-7.
\n" ); document.write( "a) Find the composite function (f o g) (x)
\n" ); document.write( "(fog)(x) = 2(x-7)^2-9
\n" ); document.write( "(fog)(x) = 2(x-7)(x-7)-9
\n" ); document.write( "(fog)(x) = 2(x^2-14x+49)-9
\n" ); document.write( "(fog)(x) = (2x^2-28x+98)-9
\n" ); document.write( "(fog)(x) = 2x^2-28x+89
\n" ); document.write( ".
\n" ); document.write( "b) (f o g) (5)
\n" ); document.write( "(fog)(x) = 2x^2-28x+89
\n" ); document.write( "(fog)(5) = 2(5)^2-28(5)+89
\n" ); document.write( "(fog)(5) = 2(25)-140+89
\n" ); document.write( "(fog)(5) = 50-140+89
\n" ); document.write( "(fog)(5) = -90+89
\n" ); document.write( "(fog)(5) = -1
\n" ); document.write( " \n" ); document.write( "

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