What is the value of g o f(6) ?
f(x)=2x-8 g(x)= x-5
f(6) = 2(6) - 8 = 4 g(4) = 4-5 = -1
(g o f)(x) can be rewritten as g( f(x) ).
This means that you replace the x inside g(x) with the expression of f(x).
Since f(x) = x - 5, g( f(x) ) = g( x - 5) = 2(x - 5) - 8
Simplifying: g( f(x) ) = 2x - 10 - 8 or g( f(x) ) = 2x - 18
Hey Geno f(x) = 2x-8 so g(fx) == (2x-8) -5 = 2x-13 substitute 6 2(6) -13 = -1