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anonymous
 one year ago
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u). y=e^7 rootx
would it be (g(x),f(u))= (e^x, 7rootx)?
anonymous
 one year ago
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u). y=e^7 rootx would it be (g(x),f(u))= (e^x, 7rootx)?

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freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[y=e^{\sqrt[7]{x}}\]?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0it looks like you have identified things a bit backwards

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433723874162:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 7 and the square root are being multiplied

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[y=e^{7 \sqrt{x}}\] you mean this?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0say we have \[f(x)=e^x\] what would you get if I asked you to find \[f(7 \sqrt{x})=?\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[f( \text{ twinkie }\text{ star})=e^{\text{ twinkie}\text{ star}}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0just giving you example of how to do what I asked if you were having trouble

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be (7e^x)=e^(7e^x)?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433713458136:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433713475816:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433713493869:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.0you replace old input with new input

freckles
 one year ago
Best ResponseYou've already chosen the best response.0so wherever there is the input value x you replace it with what you are trying to input currently

freckles
 one year ago
Best ResponseYou've already chosen the best response.0I hope this makes it more clear what the inside and outside function are

freckles
 one year ago
Best ResponseYou've already chosen the best response.0Here is an example: \[y=2^{5x7x^2} \\ \text{ outside function }=2^x \\ \text{ inside function }=5x7x^2 \\ y=f(g(x)) \\ \text{ so } \\ f(x)=2^x \\ g(x)=5x7x^2 \\ \text{ so we have }f(g(x))=f(5x7x^2)=2^{5x7x^2}\]
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