Exexpress the function h ( x ) = 1 x + 6 in the form f ∘ g . If g ( x ) = ( x + 6 ) , find the function f ( x ) .

Answer 1

h(x) = 1x+6 =x+6 = f(g(x))= f(x+6)

f(x)=x

f(x+6) = x+6

g(x) = x+6

h(x) = f(g(x)) = f(x+6) = x+6 = 1x +6

1x = x

although writing 1x+6 is an odd way to write that expression, as 1 is implicit in x. x=1(x)