1)If f(x)=3x+5 and g(x)=x^2+2x-3, determine x such that f(g(x))=g(f(x)).
2)If f(x)=2x-7 and g(x)=5-2x,
a)determine fof^-1 and f^-1of.
b)show that (fog)^-1=g^-1of^-1
thank you =)
we want
now solve for x
i suppose they want us to do this the hard way. so first thing's first. find and then we'll take it from there.2)If f(x)=2x-7 and g(x)=5-2x,
a)determine fof^-1 and f^-1of.
find and then it's inverseb)show that (fog)^-1=g^-1of^-1
thank you =)
then find (you already found
then just show that both expressions are equal. that is, find and simplify and show that you get the same expression as when you find and simplify