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Mathematics 21 Online
OpenStudy (anonymous):

help with calculus!!!

OpenStudy (anonymous):

Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.

OpenStudy (anonymous):

@ganeshie8 PLEASE

OpenStudy (inkyvoyd):

that's nto very hard

OpenStudy (anonymous):

omg please help me :(

OpenStudy (inkyvoyd):

try f(x)=x^2 and g(x)=x+1

OpenStudy (inkyvoyd):

let's compute the composite functions

OpenStudy (inkyvoyd):

f(g(x))=(x+1)^2=x^2+2x+1 g(f(x))=(x^2)+1=x^2+1 are the two equal?

OpenStudy (anonymous):

nope

OpenStudy (inkyvoyd):

so did we satisfy the conditions of your problem?

OpenStudy (anonymous):

oh wow.. that was really easy haahah

OpenStudy (inkyvoyd):

there we go then :) feel free to change the functions a bit. the results will still be different, but you'll have an example that's separate from mine

OpenStudy (anonymous):

okay! thanks (:

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