Verified Answer :

JoshEast

\(f(x) = x^{2} + 5\)                   \(g(x) = \frac{x + 5}{5}\)

First find gf(x) by substituting the expression for f(x) wherever there is an x in the g(x) function 

\(gf(x) = \frac{( x^{2} + 5 ) + 5}{5}\)

Simplify the equation and then substitute -3 where the x's are in gf(x)

gf(x) =  \(\frac{ x^{2} + 10}{5}\)

gf(-3)  =  \(\frac{(-3)^{2} + 10 }{5}\)
          
           =  \(\frac{9 + 10}{5}\)
 
           =  \(\frac{19}{5}\)

Keen to note that if you worked f(-3) first and then substituted that into g(x) then you would get the same answer.

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