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anonymous
 one year ago
Here is my function : f(x) = 2x + 3
Walk me through to understand?
They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number.
anonymous
 one year ago
Here is my function : f(x) = 2x + 3 Walk me through to understand? They ask you to create a new function, h(x). Then assign any number to x. Using complete sentences, explain whether f(h(x)) and h(f(x)) will always result in the same number.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, I know to start from the inside out...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lets have h(x) = 2 ? That's all i know to do at the moment :/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so.. you can use any arbitrary h(x)? you're not expected to ... use an specific h(x) or there are no instructions on what h(x) is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the idea of f( h(x) ) and h( f(x) ) equalling the same value is that, that is TRUE, only when h(x) is the "inverse function" of f(x) and the case is that, when h(x) is the inverse of f(x), then the value for their composite f( h(x) ) is "x", and h( f(x) ) will also yield "x" otherwise, they do not, I assume that's the context

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f( h(x) ) really means, you stick h(x) INSIDE f(x), in place of the "x" say \(\bf f(x)=2x+3\qquad h(x)={\color{brown}{ cheese}} \\ \quad \\ f(\ h(x)\ )=2{\color{brown}{ h(x)}}+3\to 2{\color{brown}{ (cheese)}}+3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now.. h(x) could be, anything if h(x) is ... say \(3x^2+5\) then you replace the "x" for that if h(x) is \(x^3+5x^5\) then you replace "x" for that whatever h(x) is, will be replacing "x", in f(x) that's what f( h(x) ) means

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so.... make up an h(x) function then so we can take it from there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0h can be any number ~

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0h(x) is an expression, a function
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