Find each of the following.
http://www.webassign.net/cgi-perl/symimage.cgi?expr=f%28x%29%20%3D%20x%5E3%20-%209
http://www.webassign.net/cgi-perl/symimage.cgi?expr=g%28x%29%20%3D%20root3%28x%20%2B%209%29
(fg)(x) = (gf)(x) =
so is that suppose to be f times g or f composed of g
f circle g
so f(g(x))
right?
\[f(x)=x^3-9\] \[g(x)=\sqrt[3]{x+9}\] \[f \circ g =f(g(x))=f(\sqrt[3]{x+9})=(\sqrt[3]{x+9})^3-9=(x+9)-9=x+9-9=x\]
\[g \circ f=g(f(x))=g(x^3-9)=\sqrt[3]{(x^3-9)+9}=\sqrt[3]{x^3}=x\]
since both of these =x you can write f and g are inverses of each other
ok i posted 2 other ones that are similar but different, could u help with those too? i have them on my profile if you dont wanna scroll down through everything here...
yes?
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