How do you find the compositions given #f(x)=4x^2#, #g(x)=-x+3#?
1 Answer
Feb 19, 2016
f(g(x)) =
#4(-x + 3)^2#
g(f(x)) =# -4x^2 + 3#
Explanation:
f(g(x)) = f(-x + 3 ) =
# 4(-x + 3 )^2# here you substitute the value (- x + 3 ) for x in f(x)
g(f(x)) =
#g(4x^2) = -4x^2 + 3 # here you substitute the value
#(4x^2) " for x in g(x)"#
