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Mathematics 20 Online
OpenStudy (anonymous):

My last question, any help?

OpenStudy (anonymous):

How do you solve this?

OpenStudy (michele_laino):

hint: by definition, we can write this: \[\Large \left( {g \circ f} \right)\left( x \right) = g\left( {f\left( x \right)} \right)\]

OpenStudy (anonymous):

Just taking a wild guess here, but would that make the answer D?

OpenStudy (anonymous):

It is not.

OpenStudy (anonymous):

\[If f(x)=3x^2-2x-1\] and \[ g(x)=x^2\] Since (x) in g(x) got replaced by a f(x) and \[f(x)=3x^2-2x-1\]

OpenStudy (anonymous):

then \[3x^2-2x-1 \] would replaced the x in \[g(x)=x^2\]

OpenStudy (anonymous):

which leads to \[(3x^2-2x-1)^2\] g o f means g has a f inside that leads to g(f(x)) meaning the g(x) needs to be plugged in with f(x) instead.

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