How do you find (f og)(x) and (g of)(x) given #f(x)=9x-5# and #g(x)=9-3x#?
1 Answer
Mar 5, 2017
Explanation:
#"Note " (f@g)(x)=f(g(x)" and " (g@f)(x)=g(f(x))# The method of processing is the same.
#rArrf(g(x))#
#"Substitute g(x) into f(x)"#
#=f(color(red)(9-3x))#
#=9(color(red)(9-3x))-5#
#=81-27x-5#
#=76-27x# For g( f(x)) substitute f( x) into g( x)
#rArrg(f(x))#
#=g(color(red)(9x-5))#
#=9-3(color(red)(9x-5))#
#=9-27x+15#
#=24-27x#
