Question 1199001
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The notation (f o g)(x) is the same as f( g(x) ).


To evaluate f( g(5) ), we first need the value of g(5).
{{{g(x) = sqrt(x^2+39)}}}


{{{g(5) = sqrt(5^2+39)}}}


{{{g(5) = sqrt(25+39)}}}


{{{g(5) = sqrt(64)}}}


{{{g(5) = 8}}}


This means,
{{{f(g(5)) = f(8)}}}


{{{f(x) = 2^(x-3)}}}


{{{f(8) = 2^(8-3)}}}


{{{f(8) = 2^(5)}}}


{{{f(8) = highlight(32)}}}
and furthermore,
{{{f(g(5)) = (f o g)(5) = highlight(32)}}}
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