document.write( "Question 1065985: f(x) = 3x - 7 and g(x) = -2x - 6 Find ( f o g) (4)
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Algebra.Com's Answer #681154 by jim_thompson5910(35256) $\"\"$ $\"About$

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\n" ); document.write( "The notation (f o g)(x) is really the same as f(g(x))\r
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\n" ); document.write( "\n" ); document.write( "So saying (f o g)(4) means we want to compute f(g(4))\r
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\n" ); document.write( "\n" ); document.write( "First let's plug x = 4 into g(x), which is the inner function.
\n" ); document.write( "g(x) = -2x-6
\n" ); document.write( "g(4) = -2(4)-6
\n" ); document.write( "g(4) = -8-6
\n" ); document.write( "g(4) = -14\r
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\n" ); document.write( "\n" ); document.write( "So f(g(4)) gets updated to f(-14) after we replace the \"g(4)\" with \"-14\"\r
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\n" ); document.write( "\n" ); document.write( "Now let's compute f(-14)
\n" ); document.write( "f(x) = 3x-7
\n" ); document.write( "f(-14) = 3(-14)-7
\n" ); document.write( "f(-14) = -42-7
\n" ); document.write( "f(-14) = -49\r
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\n" ); document.write( "\n" ); document.write( "The final answer is therefore -49 \n" ); document.write( "

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