document.write( "Question 879765: Can I get some help please?\r
\n" ); document.write( "\n" ); document.write( "Functions and Relations\r
\n" ); document.write( "\n" ); document.write( "If f(x)=3x^2-4x+5 and g(x)=4x-3\r
\n" ); document.write( "\n" ); document.write( "How do I find
\n" ); document.write( "(fog)(x)\r
\n" ); document.write( "\n" ); document.write( "When finding (fog)(x) where ever you see x in the equation of f(x) you will replace the g(x) equation
\n" ); document.write( "(fog)(x)= 3(4x-3)^2 -4(4x-3)+5
\n" ); document.write( "= 3(16x^2-12x-12x+9)-16x+12+5
\n" ); document.write( "= 3(16x^2-24x+9)-16x+17
\n" ); document.write( "= 48x^2-72x+27-16x+17
\n" ); document.write( "= 48x^2+(-72x-16x)+(27+17)
\n" ); document.write( "= 48x^2-88x+44
\n" ); document.write( "(fog)(x)= 4(12x^2-22x+11)
\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "(gof)(x)
\n" ); document.write( "To find (gof)(x)where ever you see x in the g(x) equation you would replace it with the f(x) equation\r
\n" ); document.write( "\n" ); document.write( "g(x) = 4(3x^2-4x+5)-3
\n" ); document.write( " = 12x^2-16x+20-3
\n" ); document.write( "g(x) = 12x^2-16x+17\r
\n" ); document.write( "\n" ); document.write( "Thank you!! \n" ); document.write( "

Algebra.Com's Answer #531035 by BigToosie(32) $\"\"$ $\"About$

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