Find the function composition # f@g(x)=f(g(x))# where # f(x ) = 8x-18 # and # g(x) = 1/2x-1 #?
1 Answer
Oct 6, 2017
# f(g(x)) = 4x-26#
# g(f(x)) =4x-10 #
Explanation:
We have:
# f(x ) = 8x-18 #
# g(x) = 1/2x-1 #
And so
# f(g(x)) = f(1/2x-1)#
# " " = 8(1/2x-1)-18#
# " " = 4x-8-18#
# " " = 4x-26#
And:
# g(f(x)) =g(8x-18) #
# " " = 1/2(8x-18)-1 #
# " " = 4x-9-1 #
# " " = 4x-10 #
