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breanna1999
 one year ago
Let f(x)=x^2+x+2 and g(x)=2x^2+5 find f(g(x))
breanna1999
 one year ago
Let f(x)=x^2+x+2 and g(x)=2x^2+5 find f(g(x))

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hint: \(\bf f(x)=x^2+x+2 \qquad {\color{brown}{ g(x)}} =2x^2+5 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ g(x)}})^2+({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ 2x^2+5}})^2+({\color{brown}{ 2x^2+5}})+2\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0expand and simplify :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0notice, the "g(x)" becomes the ARGUMENT for f(x), thus any "x" inside f(x) becomes "g(x)" and it turns out that g(x) is an expression, so once expanded, it looks like so :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if we say were to use "cheese" instead than \(\bf f(cheese)=cheese^2+cheese+2\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f( value for the variable ) < so whatever is in there, the variable, or "x", takes on that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it just so happens, in this case is a function, g(x)
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