document.write( "Question 52349: Let f(x)=x^2+4, and g(x)=x-1 Compute (g 0 f)(x), (f 0 G)(x) \n" ); document.write( "

Algebra.Com's Answer #34873 by funmath(2933) $\"\"$ $\"About$

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f(x)=x^2+4
\n" ); document.write( "g(x)=x-1
\n" ); document.write( "(gof)(x) means you substitute the function of f into the function of g where x is.
\n" ); document.write( "(gof)(x)=g(f(x))=g(x^2+4)
\n" ); document.write( "g(x^2+4)=(x^2+4)-1
\n" ); document.write( " =x^2+4-1
\n" ); document.write( " =x^2+3
\n" ); document.write( "(fog)(x) means you substitute the function of g into the function of f where x is.
\n" ); document.write( "(fog)(x)=f(g(x))=f(x-1)
\n" ); document.write( "f(x-1)=(x-1)^2+4
\n" ); document.write( " =(x^2-2x+1)+4
\n" ); document.write( " =x^2-2x+1+4
\n" ); document.write( " =x^2-2x+5 \n" ); document.write( "

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