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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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jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1hint: \(\bf f(x)=x^2+x+2 \qquad {\color{brown}{ g(x)}} =2x^2+5 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ g(x)}})^2+({\color{brown}{ g(x)}})+2 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=({\color{brown}{ 2x^2+5}})^2+({\color{brown}{ 2x^2+5}})+2\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1expand and simplify :)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1notice, 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 :)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1if we say were to use "cheese" instead than \(\bf f(cheese)=cheese^2+cheese+2\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1f( value for the variable ) < so whatever is in there, the variable, or "x", takes on that

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1it just so happens, in this case is a function, g(x)
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