Question #c7a86 Calculus Graphing with the First Derivative Identifying Stationary Points (Critical Points) for a Function 2 Answers Narad T. Nov 28, 2016 The answer is #=2^(2x)# Explanation: #S(x)=x^2# #P(x)=2^x# #SoP(x)=S(P(x))=S(2^x)=(2^x)^2=2^(2x)# #PoS(x)=P(S(x))=P(x^2)=2^(x^2)# #SoP(x)!=PoS(x)# Answer link Steve M Nov 28, 2016 # :. (S@P)(y) = 4^y # Explanation: #(S@P)(y)# means the composite #S(p(y))# # :. (S@P)(y) = S(P(y)) # # :. (S@P)(y) = S(2^y) # # :. (S@P)(y) = (2^y)^2 # # :. (S@P)(y) = 2^(2y) # # :. (S@P)(y) = 4^y # Answer link Related questions How do you find the stationary points of a curve? How do you find the stationary points of a function? How many stationary points can a cubic function have? How do you find the stationary points of the function #y=x^2+6x+1#? How do you find the stationary points of the function #y=cos(x)#? How do I find all the critical points of #f(x)=(x-1)^2#? Let #h(x) = e^(-x) + kx#, where #k# is any constant. For what value(s) of #k# does #h# have... How do you find the critical points for #f(x)=8x^3+2x^2-5x+3#? How do you find values of k for which there are no critical points if #h(x)=e^(-x)+kx# where k... How do you determine critical points for any polynomial? See all questions in Identifying Stationary Points (Critical Points) for a Function Impact of this question 1289 views around the world You can reuse this answer Creative Commons License